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Beliebt Rechnen >

2y^{''}+5y^'-3y=0,y(0)=22

Lösung

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 22

Lösung

y = (22 - c_{2}) e^{\frac{t}{2}} + c_{2} e^{- 3 t}

Schritte zur Lösung

2 y^{''} (t) + 5 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = (22 - c_{2}) e^{\frac{t}{2}} + c_{2} e^{- 3 t}

y = (22 - c_{2}) e^{\frac{t}{2}} + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

y^{''}-2y^'-15y=0,y(0)=1,y^'(0)=37

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 1, y^{^{'}} (0) = 37

2u^{''}+3/5 u^'+30\H(t)=0

2 u^{^{''}} + \frac{3}{5} u^{^{'}} + 30 H (t) = 0

49y^{''}-112y^'+64y=0

49 y^{^{''}} - 112 y^{^{'}} + 64 y = 0

-(d^2y)/(dx^2)+400y=0

- \frac{d ^{2} y}{d x ^{2}} + 400 y = 0

y^{''}-2y=0,y(0)=1,y^'(0)=6

y^{^{''}} - 2 y = 0, y (0) = 1, y^{^{'}} (0) = 6