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Beliebt Rechnen >

y^{''}+4y^'=8x+1

Lösung

y^{^{''}} + 4 y^{^{'}} = 8 x + 1

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) = 8 x + 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y=2(e^xe^{-x})^{-1}

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

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

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

y^{''}+3y^'+2y=cos(x)-sin(2x)

y^{^{''}} + 3 y^{^{'}} + 2 y = cos (x) - sin (2 x)

x^{''}+4x^'+5x=e^{-2}tsin(t)

x^{^{''}} + 4 x^{^{'}} + 5 x = e^{- 2} t sin (t)

solvefor d,d(t)=-16t^2+32t+40

so l v e f or d, d (t) = - 16 t^{2} + 32 t + 40