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Beliebt Rechnen >

y^{''}-7y^'+10y=-sin(3t)

Lösung

y^{^{''}} - 7 y^{^{'}} + 10 y = - sin (3 t)

Lösung

y = c_{1} e^{5 t} + c_{2} e^{2 t} - \frac{1}{442} sin (3 t) - \frac{21}{442} cos (3 t)

Schritte zur Lösung

y^{''} (t) - 7 y^{'} (t) + 10 y = - sin (3 t)

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{2 t} - \frac{1}{442} sin (3 t) - \frac{21}{442} cos (3 t)

y = c_{1} e^{5 t} + c_{2} e^{2 t} - \frac{1}{442} sin (3 t) - \frac{21}{442} cos (3 t)

Graph

Beliebte Beispiele

fläche y=x^2+2x-11,y=3,[3,5]

a re a y = x^{2} + 2 x - 11, y = 3, [3, 5]

(\partial)/(\partial x)(4xsin(7x^2y))

\frac{\partial}{\partial x} (4 x sin (7 x^{2} y))

derivative of x(x-1(x-2))

\frac{d}{d x} (x (x - 1) (x - 2))

derivative y=\sqrt[7]{x}

d er i v a t i v e y = 7 x

y^'+5y=te^{(4t)}

y^{^{'}} + 5 y = t e^{(4 t)}