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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{8 t}{7}} + c_{2} e^{\frac{8 t}{7}} t

Schritte zur Lösung

49 y^{''} (t) - 112 y^{'} (t) + 64 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{8 t}{7}} + c_{2} e^{\frac{8 t}{7}} t

y = c_{1} e^{\frac{8 t}{7}} + c_{2} e^{\frac{8 t}{7}} t

Graph

Beliebte Beispiele

-(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

y^{''}+25y=0,y^'(pi)=0,y^'(0)=0

y^{^{''}} + 25 y = 0, y^{^{'}} (π) = 0, y^{^{'}} (0) = 0

y^{''''}-k^2y^{''}=0

y^{^{''''}} - k^{2} y^{^{''}} = 0

y^{''''}-y^{''}=2(4y^{'''})

y^{^{''''}} - y^{^{''}} = 2 (4 y^{^{'''}})