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Beliebt Rechnen >

y^{''}+25y=20sin(5x)

Lösung

y^{^{''}} + 25 y = 20 sin (5 x)

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) - 2 x cos (5 x)

Schritte zur Lösung

y^{''} (x) + 25 y = 20 sin (5 x)

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) - 2 x cos (5 x)

y = c_{1} cos (5 x) + c_{2} sin (5 x) - 2 x cos (5 x)

Graph

Beliebte Beispiele

e^{x-y}dx+e^{y-x}dy=0

e^{x - y} d x + e^{y - x} d y = 0

derivative f(x^2)

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(\partial)/(\partial x)(1/(e^x))

\frac{\partial}{\partial x} (\frac{1}{e ^{x}})

9x-4ysqrt(x^2+1)(dy)/(dx)=0

9 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0

derivative of \sqrt[4]{sin^3(5x})

\frac{d}{d x} (4 sin^{3} (5 x))