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Beliebt Rechnen >

xy^'-y=2x^2+2x+2

Lösung

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

Lösung

y = 2 x^{2} + 2 x ln (x) - 2 + c_{1} x

Schritte zur Lösung

x y^{'} (x) - y = 2 x^{2} + 2 x + 2

Solve linear ODE:

y = 2 x^{2} + 2 x ln (x) - 2 + c_{1} x

y = 2 x^{2} + 2 x ln (x) - 2 + c_{1} x

Graph

Beliebte Beispiele

derivative of x+e^x

\frac{d}{d x} (x + e^{x})

(\partial)/(\partial x)(y/(2x^2))

\frac{\partial}{\partial x} (\frac{y}{2 x ^{2}})

derivative of 1/(arccos(3x))

\frac{d}{d x} (\frac{1}{arccos ( 3 x )})

integral of x^2cos(y)

\int x^{2} cos (y) d y

\frac{d}{d t} (2 + 4 t)