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Beliebt Rechnen >

y^{''}+3y^'+2.25y=9t^3+64,y(0)=1,y^'(0)=31.5

Lösung

y^{^{''}} + 3 y^{^{'}} + 2.25 y = 9 t^{3} + 64, y (0) = 1, y^{^{'}} (0) = 31.5

Lösung

y = e^{- \frac{3 t}{2}} + e^{- \frac{3 t}{2}} t + 4 t^{3} - 16 t^{2} + 32 t

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 2.25 y = 9 t^{3} + 64

Solve linear ODE:

y = e^{- \frac{3 t}{2}} + e^{- \frac{3 t}{2}} t + 4 t^{3} - 16 t^{2} + 32 t

y = e^{- \frac{3 t}{2}} + e^{- \frac{3 t}{2}} t + 4 t^{3} - 16 t^{2} + 32 t

Graph

Beliebte Beispiele

y^{''}+3y^'-4y=-32t^2

y^{^{''}} + 3 y^{^{'}} - 4 y = - 32 t^{2}

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

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

y^{''}+3y+2=0,y(2)=-1,y^'(0)=0

y^{^{''}} + 3 y + 2 = 0, y (2) = - 1, y^{^{'}} (0) = 0

y^{''}-2y^'+2y=e-t,y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 2 y = e - t, y (0) = 0, y^{^{'}} (0) = 1

y^{''}-2y-3y=-3xe^{-x}

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