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Beliebt Rechnen >

y^{''}+9y=5e^x-162x

Lösung

y^{^{''}} + 9 y = 5 e^{x} - 162 x

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{2} e^{x} - 18 x

Schritte zur Lösung

y^{''} (x) + 9 y = 5 e^{x} - 162 x

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{2} e^{x} - 18 x

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{2} e^{x} - 18 x

Graph

Beliebte Beispiele

integral of-(x^3)/3-x^2+4/3

\int - \frac{x ^{3}}{3} - x^{2} + \frac{4}{3} d x

derivative of 2arcsin(x/2)

\frac{d}{d x} (2 arcsin (\frac{x}{2}))

(dy)/(dx)=7xsqrt(5y+11),y(0)=9

\frac{d y}{d x} = 7 x 5 y + 11, y (0) = 9

derivative f(x)=\sqrt[5]{x}

d er i v a t i v e f (x) = 5 x

\frac{d y}{d x} - x y = 0