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Beliebt Rechnen >

y^{''}+y=e^xsin(x)

Lösung

y^{^{''}} + y = e^{x} sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = e^{x} sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of (sqrt(2x))/x

integral of 1+2cos(x)+cos^2(x)

fläche y=x^3,y=x^2

(\partial)/(\partial t)(t^2+1)

tangent f(x)=((x^2))/(x-5)