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Beliebt Rechnen >

y^{''}-7y^'+10y=-2cos(2t)

Lösung

y^{^{''}} - 7 y^{^{'}} + 10 y = - 2 cos (2 t)

Lösung

y = c_{1} e^{5 t} + c_{2} e^{2 t} + \frac{7}{58} sin (2 t) - \frac{3}{58} cos (2 t)

Schritte zur Lösung

y^{''} (t) - 7 y^{'} (t) + 10 y = - 2 cos (2 t)

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{2 t} + \frac{7}{58} sin (2 t) - \frac{3}{58} cos (2 t)

y = c_{1} e^{5 t} + c_{2} e^{2 t} + \frac{7}{58} sin (2 t) - \frac{3}{58} cos (2 t)

Graph

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derivative f(x)=4x-1

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x \to 0 lim (\frac{3}{x ^{2} + x} - \frac{3}{x})