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Beliebt Rechnen >

x^3y^'+4x^2y=e^{-x}

Lösung

x^{3} y^{^{'}} + 4 x^{2} y = e^{- x}

Lösung

y = - \frac{e ^{- x}}{x ^{3}} - \frac{e ^{- x}}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Schritte zur Lösung

x^{3} y^{'} (x) + 4 x^{2} y = e^{- x}

Solve linear ODE:

y = - \frac{e ^{- x}}{x ^{3}} - \frac{e ^{- x}}{x ^{4}} + \frac{c _{1}}{x ^{4}}

y = - \frac{e ^{- x}}{x ^{3}} - \frac{e ^{- x}}{x ^{4}} + \frac{c _{1}}{x ^{4}}

Graph

Beliebte Beispiele

integral of 1/(cot(x))

\int \frac{1}{cot ( x )} d x

derivative g(x)=sqrt(x+x^3)

d er i v a t i v e g (x) = x + x^{3}

integral of (1+cos(2x))/2

\int \frac{1 + cos ( 2 x )}{2} d x

f(x)=(sec(x)+tan(x))/(sec(x)-tan(x))

f (x) = \frac{sec ( x ) + tan ( x )}{sec ( x ) - tan ( x )}

derivative of (4x/((x+1)))

\frac{d}{d x} (\frac{4 x}{( x + 1 )})