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Beliebt Rechnen >

(y^{''})/8+32y=2cos(3t)+4

Lösung

\frac{y ^{^{''}}}{8} + 32 y = 2 cos (3 t) + 4

Lösung

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{16}{247} cos (3 t) + \frac{1}{8}

Schritte zur Lösung

\frac{y ^{''} ( t )}{8} + 32 y = 2 cos (3 t) + 4

Solve linear ODE:

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{16}{247} cos (3 t) + \frac{1}{8}

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{16}{247} cos (3 t) + \frac{1}{8}

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=x,y(0)=e^x

y^{^{''}} - 3 y^{^{'}} + 2 y = x, y (0) = e^{x}

y^{''}+y=2cos(x)+x

y^{^{''}} + y = 2 cos (x) + x

-3y^{''}-2y^'+y=t^2+t-2e^{2t}

- 3 y^{^{''}} - 2 y^{^{'}} + y = t^{2} + t - 2 e^{2 t}

x^{'''}-4x^{''}+5x^'-2x=2t+3

x^{^{'''}} - 4 x^{^{''}} + 5 x^{^{'}} - 2 x = 2 t + 3

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

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