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Beliebt Rechnen >

y^{''}-4y^'+4y=10e^{2x}

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = 10 e^{2 x}

Lösung

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + 5 x^{2} e^{2 x}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = 10 e^{2 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + 5 x^{2} e^{2 x}

y = c_{1} e^{2 x} + c_{2} x e^{2 x} + 5 x^{2} e^{2 x}

Graph

Beliebte Beispiele

2(d^2y)/(dx^2)-5(dy)/(dx)-3=0

2 \frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 3 = 0

(d^3-3d^2+4d-2)y=x^3

(d^{3} - 3 d^{2} + 4 d - 2) y = x^{3}

y^{''}=2y+tan^3(x),y(0)= 1/2 tan(x)

y^{^{''}} = 2 y + tan^{3} (x), y (0) = \frac{1}{2} tan (x)

y^{''}-7y^'+10y=30t+9,y(0)=7,y^'(0)=26

y^{^{''}} - 7 y^{^{'}} + 10 y = 30 t + 9, y (0) = 7, y^{^{'}} (0) = 26

-4y^{''}+y^'+9y=15

- 4 y^{^{''}} + y^{^{'}} + 9 y = 15