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Beliebt Rechnen >

y^{''}-7y=t^2

Lösung

y^{^{''}} - 7 y = t^{2}

Lösung

y = c_{1} e^{7 t} + c_{2} e^{- 7 t} - \frac{t ^{2}}{7} - \frac{2}{49}

Schritte zur Lösung

y^{''} (t) - 7 y = t^{2}

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} e^{- 7 t} - \frac{t ^{2}}{7} - \frac{2}{49}

y = c_{1} e^{7 t} + c_{2} e^{- 7 t} - \frac{t ^{2}}{7} - \frac{2}{49}

Graph

Beliebte Beispiele

(y^{''}+2y^'+5)=e^x

(y^{^{''}} + 2 y^{^{'}} + 5) = e^{x}

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

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

y^{''}+y^'-2y=3e^{-2x}-2x

y^{^{''}} + y^{^{'}} - 2 y = 3 e^{- 2 x} - 2 x

y^{''}+y^'-2y=2t,y(0)=0

y^{^{''}} + y^{^{'}} - 2 y = 2 t, y (0) = 0

y^{''}-3y^'+y=2e^x+e^{-x}

y^{^{''}} - 3 y^{^{'}} + y = 2 e^{x} + e^{- x}