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Beliebt Rechnen >

y^{''}+25y=2xcos(x)

Lösung

y^{^{''}} + 25 y = 2 x cos (x)

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x cos ( x )}{12} + \frac{1}{144} sin (x)

Schritte zur Lösung

y^{''} (x) + 25 y = 2 x cos (x)

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x cos ( x )}{12} + \frac{1}{144} sin (x)

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x cos ( x )}{12} + \frac{1}{144} sin (x)

Graph

Beliebte Beispiele

12(d^2y)/(dx^2)-5(dy)/(dx)-3y=e^x

12 \frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 3 y = e^{x}

y^{''}+4y=16t,y(0)=3,y^'(0)=-6

y^{^{''}} + 4 y = 16 t, y (0) = 3, y^{^{'}} (0) = - 6

y^{^{''}} - 4 y = 2

y^{''}-3y^'+2y=9e^{3x}

y^{^{''}} - 3 y^{^{'}} + 2 y = 9 e^{3 x}

y^{''}-2y^'+y=x^{(-1)/3}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{\frac{- 1}{3}} e^{x}