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Beliebt Rechnen >

(xdy)/(dx)=-y+2x^2y

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral of (5x-7x^2+4)/((x-2)^2(x+1))

\int \frac{5 x - 7 x ^{2} + 4}{( x - 2 ) ^{2} ( x + 1 )} d x

derivative of e^{-(3x/2})

\frac{d}{d x} (e^{- \frac{3 x}{2}})

derivative y=sqrt(x)(x-1)

d er i v a t i v e y = x (x - 1)

derivative 2ln(cos(t))

d er i v a t i v e 2 ln (cos (t))

y^{''}+3y^'+y=(2-6x)cos(x)-9sin(x)

y^{^{''}} + 3 y^{^{'}} + y = (2 - 6 x) cos (x) - 9 sin (x)