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Beliebt Rechnen >

y^{''}+6y^'+25y=15sin(5t)

Lösung

y^{^{''}} + 6 y^{^{'}} + 25 y = 15 sin (5 t)

Lösung

y = e^{- 3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) - \frac{1}{2} cos (5 t)

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 25 y = 15 sin (5 t)

Solve linear ODE:

y = e^{- 3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) - \frac{1}{2} cos (5 t)

y = e^{- 3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) - \frac{1}{2} cos (5 t)

Graph

Beliebte Beispiele

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

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

solvefor x,d(x)=xdt(x)

so l v e f or x, d (x) = x d t (x)

(d^2y)/(dx^2)+4y=sin(x)cos(x)

\frac{d ^{2} y}{d x ^{2}} + 4 y = sin (x) cos (x)

y^{''}+36y=cos(4x)

y^{^{''}} + 36 y = cos (4 x)

(d^2y)/(dx^2)+y=xsin(2x)

\frac{d ^{2} y}{d x ^{2}} + y = x sin (2 x)