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Beliebt Rechnen >

y^{''}+5y^'+4y=-18te^{4t}

Lösung

y^{^{''}} + 5 y^{^{'}} + 4 y = - 18 t e^{4 t}

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 4 t} - \frac{9 e ^{4 t} t}{20} + \frac{117}{800} e^{4 t}

Schritte zur Lösung

y^{''} (t) + 5 y^{'} (t) + 4 y = - 18 t e^{4 t}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 4 t} - \frac{9 e ^{4 t} t}{20} + \frac{117}{800} e^{4 t}

y = c_{1} e^{- t} + c_{2} e^{- 4 t} - \frac{9 e ^{4 t} t}{20} + \frac{117}{800} e^{4 t}

Graph

Beliebte Beispiele

derivative of xe^{-sin(x}-x)

limit as x approaches 2 of sqrt(2.1-1)+3

tangent f(x)=(x^2-12)(2x-9)

limit as z approaches 0 of (2z-8)^{1/3}