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Beliebt Rechnen >

y^{''}-2y^'-15y=-37t+30t^2

Lösung

y^{^{''}} - 2 y^{^{'}} - 15 y = - 37 t + 30 t^{2}

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 15 y = - 37 t + 30 t^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'-6y=4cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 4 cos (3 x)

y^{'''}+3y^{''}-4y^'-12y=4cos(x)

y^{^{'''}} + 3 y^{^{''}} - 4 y^{^{'}} - 12 y = 4 cos (x)

y^{'''}-ay^'=1+cosh(ax)

y^{^{'''}} - a y^{^{'}} = 1 + cosh (a x)

y^{''}+5y^'+8y=24+23x+12x^2

y^{^{''}} + 5 y^{^{'}} + 8 y = 24 + 23 x + 12 x^{2}

4y^{''}-y=1,y^'(0)= 1/2

4 y^{^{''}} - y = 1, y^{^{'}} (0) = \frac{1}{2}