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Beliebt Rechnen >

4y^{''}-6y^'+7y=8

Lösung

4 y^{^{''}} - 6 y^{^{'}} + 7 y = 8

Lösung

y = e^{\frac{3 t}{4}} (c_{1} cos (\frac{19 t}{4}) + c_{2} sin (\frac{19 t}{4})) + \frac{8}{7}

Schritte zur Lösung

4 y^{''} (t) - 6 y^{'} (t) + 7 y = 8

Solve linear ODE:

y = e^{\frac{3 t}{4}} (c_{1} cos (\frac{19 t}{4}) + c_{2} sin (\frac{19 t}{4})) + \frac{8}{7}

y = e^{\frac{3 t}{4}} (c_{1} cos (\frac{19 t}{4}) + c_{2} sin (\frac{19 t}{4})) + \frac{8}{7}

Graph

Beliebte Beispiele

(4D^2-4D+1)y=100

(4 D^{2} - 4 D + 1) y = 100

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

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

y^{''}+25y=3,y(0)=1,y(0)=5

y^{^{''}} + 25 y = 3, y (0) = 1, y (0) = 5

y^{''}+6y^'+8y=2t-3cos(3t)

y^{^{''}} + 6 y^{^{'}} + 8 y = 2 t - 3 cos (3 t)

x^{''}+10x^'+25x=5sin(3t)

x^{^{''}} + 10 x^{^{'}} + 25 x = 5 sin (3 t)