Richtungsfeld
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Exercise:
Ordne jedem der drei Richtungsfelder die dazu passe Differenzialgleichung zu. Die Gitternetzlinien haben einen Abstand von einer Einheit. medskip makeboxmmlDGL:hfill makeboxmmlDGL:hfill makeboxmmlDGL: medskip tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.--.; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.---.-; drawultra thick-.-.--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick..--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick..--.-.; drawultra thick..--..; drawultra thick.--.; drawultra thick..--..; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.--.; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture multicols enumerate itema y'x/y^+ itemb y'y/x^+ itemc y'y itemd y'sqrtx^+y^ iteme y'|x+y| itemf y'|x-y| itemg y'x+y- itemh y'x-y+ itemi y'y-x+ enumerate multicols
Solution:
Links: d y'sqrtx^+y^ hfill Mitte: i y'y-x+ hfill Rechts: b y'y/x^+
Ordne jedem der drei Richtungsfelder die dazu passe Differenzialgleichung zu. Die Gitternetzlinien haben einen Abstand von einer Einheit. medskip makeboxmmlDGL:hfill makeboxmmlDGL:hfill makeboxmmlDGL: medskip tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.--.; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--..; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.----.-; drawultra thick-.-.---.-.; drawultra thick-.-.---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.---.-; drawultra thick-.-.--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick..--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick..--.-.; drawultra thick..--..; drawultra thick.--.; drawultra thick..--..; tikzpicture hfill tikzpicturescale. drawhelp lines -- grid ; draw-thick --- noderight x; draw-thick --- nodeabove y; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.-.---.-.; drawultra thick-.---.; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-..---..; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.-.--.-.; drawultra thick-.--.; drawultra thick-..--..; drawultra thick-..--..; drawultra thick-..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.-.--.-.; drawultra thick.--.; drawultra thick..--..; drawultra thick..--..; drawultra thick..--..; tikzpicture multicols enumerate itema y'x/y^+ itemb y'y/x^+ itemc y'y itemd y'sqrtx^+y^ iteme y'|x+y| itemf y'|x-y| itemg y'x+y- itemh y'x-y+ itemi y'y-x+ enumerate multicols
Solution:
Links: d y'sqrtx^+y^ hfill Mitte: i y'y-x+ hfill Rechts: b y'y/x^+