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Beliebt Rechnen >

y^{''}+4y^'+4y=6x+7

Lösung

y^{^{''}} + 4 y^{^{'}} + 4 y = 6 x + 7

Lösung

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{3 x}{2} + \frac{1}{4}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 4 y = 6 x + 7

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{3 x}{2} + \frac{1}{4}

y = c_{1} e^{- 2 x} + c_{2} x e^{- 2 x} + \frac{3 x}{2} + \frac{1}{4}

Graph

Beliebte Beispiele

y^{'''}+y^{''}+y^'+y=sin(3x)

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = sin (3 x)

y^{''}-5y^'+4y=cos(x)

y^{^{''}} - 5 y^{^{'}} + 4 y = cos (x)

y^{''}+9y=2e^{3t}+2cos(2t)

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(d^2y}{dx^2}-2(dy)/(dx)+y=\frac{e^x)/x

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

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