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Beliebt Rechnen >

y^{''}-5y^'+4y=8e^x

Lösung

y^{^{''}} - 5 y^{^{'}} + 4 y = 8 e^{x}

Lösung

y = c_{1} e^{4 x} + c_{2} e^{x} - \frac{8 e ^{x} x}{3}

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 4 y = 8 e^{x}

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{x} - \frac{8 e ^{x} x}{3}

y = c_{1} e^{4 x} + c_{2} e^{x} - \frac{8 e ^{x} x}{3}

Graph

Beliebte Beispiele

tangent f(x)=-x^2+16x+63,\at x=2

t an g e n t f (x) = - x^{2} + 16 x + 63, at x = 2

integral of ln(4x)

\int ln (4 x) d x

derivative of 1/(1-cos(x))

\frac{d}{d x} (\frac{1}{1 - cos ( x )})

integral of (2x)/(x^2-4x+13)

\int \frac{2 x}{x ^{2} - 4 x + 13} d x

derivative of xe^xcot(x)

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