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Beliebt Rechnen >

x^3y^'-(8x^2-5)y=0

Lösung

x^{3} y^{^{'}} - (8 x^{2} - 5) y = 0

Lösung

y = e^{\frac{5}{2 x ^{2}} + c_{1}} x^{8}

Schritte zur Lösung

x^{3} y^{'} (x) - (8 x^{2} - 5) y = 0

Solve separable ODE:

y = e^{\frac{5}{2 x ^{2}} + c_{1}} x^{8}

y = e^{\frac{5}{2 x ^{2}} + c_{1}} x^{8}

Graph

Beliebte Beispiele

(x^2+3)(dy)/(dx)=xe^y

(x^{2} + 3) \frac{d y}{d x} = x e^{y}

(dy)/(dx)=2xy+5y,y(0)=3

\frac{d y}{d x} = 2 x y + 5 y, y (0) = 3

x ln (x) d y - y d x = 0

(dy)/(dx)=e^{x-y},y(0)=ln(4)

\frac{d y}{d x} = e^{x - y}, y (0) = ln (4)

(dy}{dx}=\frac{tan(y))/x

\frac{d y}{d x} = \frac{tan ( y )}{x}