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Beliebt Rechnen >

(d^2y)/(dx^2)-4(dy)/(dx)-12y=3e^{5x}

Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 12 y = 3 e^{5 x}

Lösung

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{3}{7} e^{5 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 12 y = 3 e^{5 x}

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{3}{7} e^{5 x}

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{3}{7} e^{5 x}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-4(dy)/(dx)-12y=cos(x)

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 12 y = cos (x)

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

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

2y^{''}+3y^'+y=log_{10}(x)

2 y^{^{''}} + 3 y^{^{'}} + y = lo g_{10} (x)

3y^{''}+2g^2y=4.9gcos(8t)

3 y^{^{''}} + 2 g^{2} y = 4.9 g cos (8 t)

x^{''}+2.8x^'+4x=10,x(0)=2,x^'(0)=3

x^{^{''}} + 2.8 x^{^{'}} + 4 x = 10, x (0) = 2, x^{^{'}} (0) = 3