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Beliebt Rechnen >

4y^{''}-4y^'+y=16e t/2

Lösung

4 y^{^{''}} - 4 y^{^{'}} + y = 16 e \frac{t}{2}

Lösung

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{\frac{t}{2}} t + 8 e t + 32 e

Schritte zur Lösung

4 y^{''} (t) - 4 y^{'} (t) + y = 16 e \frac{t}{2}

Solve linear ODE:

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{\frac{t}{2}} t + 8 e t + 32 e

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{\frac{t}{2}} t + 8 e t + 32 e

Graph

Beliebte Beispiele

(D^2-2D+1)y=xe^xsin(x)

(D^{2} - 2 D + 1) y = x e^{x} sin (x)

y^{''}+100y=200sin(10x),y^'(0)=0,y^{''}(0)=0

y^{^{''}} + 100 y = 200 sin (10 x), y^{^{'}} (0) = 0, y^{^{''}} (0) = 0

y^{''}-6y^'+9y=t^{-6}e^{3t}

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{- 6} e^{3 t}

y^{''}+y^'-y=t^3

y^{^{''}} + y^{^{'}} - y = t^{3}

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

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{x s e c (x)}