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Beliebt Rechnen >

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

Lösung

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

Lösung

y = 4 cos (8 t) + \frac{7}{8} sin (8 t)

Schritte zur Lösung

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

Solve linear ODE:

y = 4 cos (8 t) + \frac{7}{8} sin (8 t)

y = 4 cos (8 t) + \frac{7}{8} sin (8 t)

Graph

Beliebte Beispiele

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

y^{''}-2y^'+2y=0,y(pi/2)=0,y(pi)=-1

y^{^{''}} - 2 y^{^{'}} + 2 y = 0, y (\frac{π}{2}) = 0, y (π) = - 1