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Beliebt Rechnen >

(dy)/(dx)+1/x y=10x^2

Lösung

\frac{d y}{d x} + \frac{1}{x} y = 10 x^{2}

Lösung

y = \frac{5 x ^{3}}{2} + \frac{c _{1}}{x}

Schritte zur Lösung

\frac{d y}{d x} + \frac{1}{x} y = 10 x^{2}

Solve linear ODE:

y = \frac{5 x ^{3}}{2} + \frac{c _{1}}{x}

y = \frac{5 x ^{3}}{2} + \frac{c _{1}}{x}

Graph

Beliebte Beispiele

integral of xsqrt(1-x^2)-x^2

\int x 1 - x^{2} - x^{2} d x

integral of (x^2e^{-x^3})

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

(\partial)/(\partial y)(xyz^2tan(yt))

\frac{\partial}{\partial y} (x y z^{2} tan (y t))

tangent y=sqrt(2-6x),\at x=-1

t an g e n t y = 2 - 6 x, at x = - 1

inverselaplace s/(s^2-3)

in v erse l a pl a ce \frac{s}{s ^{2} - 3}