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Beliebt Rechnen >

y^2y^'=xln(x^2)

Lösung

y^{2} y^{^{'}} = x ln (x^{2})

Lösung

y = 3 \frac{6 x ^{2} ln ( x ) - 3 x ^{2} + c _{1}}{2}

Schritte zur Lösung

y^{2} y^{'} (x) = x ln (x^{2})

Solve separable ODE:

y = 3 \frac{6 x ^{2} ln ( x ) - 3 x ^{2} + c _{1}}{2}

y = 3 \frac{6 x ^{2} ln ( x ) - 3 x ^{2} + c _{1}}{2}

Graph

Beliebte Beispiele

x^{2} y^{^{'}} - y - y^{2} = 0

(dy)/(dx)y=xe^{-6x}+6e^{-x}+x^7

\frac{d y}{d x} y = x e^{- 6 x} + 6 e^{- x} + x^{7}

derivative of x^2+y^2= derivative of 9

\frac{d}{d x} (x^{2} + y^{2}) = \frac{d}{d x} (9)

(dy)/(dx)=sqrt(y),y(1)=1

\frac{d y}{d x} = y, y (1) = 1

y=e^{3/(2x)}(dy)/(dx)

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