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Beliebt Rechnen >

y^{''}-5y^'=3e^{5t}-7t+4

Lösung

y^{^{''}} - 5 y^{^{'}} = 3 e^{5 t} - 7 t + 4

Lösung

y = c_{1} e^{5 t} + c_{2} + \frac{3 e ^{5 t} t}{5} + \frac{7 t ^{2}}{10} - \frac{13 t}{25}

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) = 3 e^{5 t} - 7 t + 4

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} + \frac{3 e ^{5 t} t}{5} + \frac{7 t ^{2}}{10} - \frac{13 t}{25}

y = c_{1} e^{5 t} + c_{2} + \frac{3 e ^{5 t} t}{5} + \frac{7 t ^{2}}{10} - \frac{13 t}{25}

Graph

Beliebte Beispiele

e^xy^{''}+2e^xy^'+e^xy=ln(x)

e^{x} y^{^{''}} + 2 e^{x} y^{^{'}} + e^{x} y = ln (x)

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

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

y^{''}-6y^'+9y=-12e^{3x}

y^{^{''}} - 6 y^{^{'}} + 9 y = - 12 e^{3 x}

2 y^{^{''}} + y^{^{'}} = 4 x

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

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