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Beliebt Rechnen >

xy^'+y=x^2

Lösung

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

Lösung

y = \frac{x ^{2}}{3} + \frac{c _{1}}{x}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ^{2}}{3} + \frac{c _{1}}{x}

y = \frac{x ^{2}}{3} + \frac{c _{1}}{x}

Graph

Beliebte Beispiele

integral of x/(x^4+6)

\int \frac{x}{x ^{4} + 6} d x

(\partial)/(\partial x)(y(1-e^{-x}))

\frac{\partial}{\partial x} (y (1 - e^{- x}))

integral of 2x+4sin(x)

\int 2 x + 4 sin (x) d x

integral from 0 to infinity of x*e^{-2x}

\int_{0}^{\infty} x \cdot e^{- 2 x} d x

(dy)/(dx)=y*tan(x)+1

\frac{d y}{d x} = y \cdot tan (x) + 1