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Beliebt Rechnen >

x(dy)/(dx)+4y=x^{-3}e^x

Lösung

x \frac{d y}{d x} + 4 y = x^{- 3} e^{x}

Lösung

y = \frac{e ^{x}}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Schritte zur Lösung

x \frac{d y}{d x} + 4 y = x^{- 3} e^{x}

Solve linear ODE:

y = \frac{e ^{x}}{x ^{4}} + \frac{c _{1}}{x ^{4}}

y = \frac{e ^{x}}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Graph

Beliebte Beispiele

integral of x/2

\int \frac{x}{2} d x

(\partial)/(\partial x)(2x^3y+3xy^2)

\frac{\partial}{\partial x} (2 x^{3} y + 3 x y^{2})

integral of 2y^{3/2}

\int 2 y^{\frac{3}{2}} d y

integral of tan(8x+1)

\int tan (8 x + 1) d x

integral of (3arctan(x))/(x^2)

\int \frac{3 arctan ( x )}{x ^{2}} d x