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Beliebt Rechnen >

y^{''}+10y=10e^{11x}

Lösung

y^{^{''}} + 10 y = 10 e^{11 x}

Lösung

y = c_{1} cos (10 x) + c_{2} sin (10 x) + \frac{10}{131} e^{11 x}

Schritte zur Lösung

y^{''} (x) + 10 y = 10 e^{11 x}

Solve linear ODE:

y = c_{1} cos (10 x) + c_{2} sin (10 x) + \frac{10}{131} e^{11 x}

y = c_{1} cos (10 x) + c_{2} sin (10 x) + \frac{10}{131} e^{11 x}

Graph

Beliebte Beispiele

y^{''}+36y=33cos(5t),y(0)=0,y^'(0)=0

y^{^{''}} + 36 y = 33 cos (5 t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 2 y^{^{'}} = x

y^{''}-2y^'+y=4x^2-4+x-1ex

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 4 + x - 1 e x

y^{''}-36y=-108t+72t^2

y^{^{''}} - 36 y = - 108 t + 72 t^{2}

(d^2y)/(dx^2)-2(dy)/(dx)-3y=4e^x-9

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 3 y = 4 e^{x} - 9