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Beliebt Rechnen >

12y^{''}-5y^'-3y=0,y(0)=2

Lösung

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

Lösung

y = (2 - c_{2}) e^{\frac{3 t}{4}} + c_{2} e^{- \frac{t}{3}}

Schritte zur Lösung

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

Solve linear ODE:

y = (2 - c_{2}) e^{\frac{3 t}{4}} + c_{2} e^{- \frac{t}{3}}

y = (2 - c_{2}) e^{\frac{3 t}{4}} + c_{2} e^{- \frac{t}{3}}

Graph

Beliebte Beispiele

y^{''}+64y=0,y(0)=4,y^'(0)=7

y^{^{''}} + 64 y = 0, y (0) = 4, y^{^{'}} (0) = 7

y^{^{'}} + 4 y^{^{''}} = 0

y^{''''}+2y^{'''}+4y^{''}+8y^'=0

y^{^{''''}} + 2 y^{^{'''}} + 4 y^{^{''}} + 8 y^{^{'}} = 0

2(d^2y)/(dx^2)+8(dy)/(dx)-y=0

2 \frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} - y = 0

y^{''}+10y^'+8/3 y=0

y^{^{''}} + 10 y^{^{'}} + \frac{8}{3} y = 0