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Beliebt Rechnen >

4x^2+(dy)/(dx)=2x^2y,y(0)=7

Lösung

4 x^{2} + \frac{d y}{d x} = 2 x^{2} y, y (0) = 7

Lösung

y = 5 e^{\frac{2 x ^{3}}{3}} + 2

Schritte zur Lösung

4 x^{2} + \frac{d y}{d x} = 2 x^{2} y

Solve separable ODE:

y = 5 e^{\frac{2 x ^{3}}{3}} + 2

y = 5 e^{\frac{2 x ^{3}}{3}} + 2

Graph

Beliebte Beispiele

(dy)/(dx)=(x/(y^2))

\frac{d y}{d x} = (\frac{x}{y ^{2}})

y^{^{'}} - 2 cos (x) y = 0

(dq)/(dt)=-1/5 q

\frac{d q}{d t} = - \frac{1}{5} q

(dy)/(dx)=10xsqrt(4-y^2)

\frac{d y}{d x} = 10 x 4 - y^{2}

y^'=e^{x^2}sqrt(36-y^2)

y^{^{'}} = e^{x^{2}} 36 - y^{2}