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Beliebt Rechnen >

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

Lösung

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

Lösung

y = cos (5 t) - \frac{1}{5} sin (5 t)

Schritte zur Lösung

y^{''} (t) + 25 y = 0

Solve linear ODE:

y = cos (5 t) - \frac{1}{5} sin (5 t)

y = cos (5 t) - \frac{1}{5} sin (5 t)

Graph

Beliebte Beispiele

y^{''}-18y^'+97y=0

y^{^{''}} - 18 y^{^{'}} + 97 y = 0

(d^3y)/(dx^3)+3(d^2y)/(dx^2)=0

\frac{d ^{3} y}{d x ^{3}} + 3 \frac{d ^{2} y}{d x ^{2}} = 0

y^{''}+16/3 y=0

y^{^{''}} + \frac{16}{3} y = 0

4y^{''}+22y^'+18y=0,y(0)=3,y^'(0)=0

4 y^{^{''}} + 22 y^{^{'}} + 18 y = 0, y (0) = 3, y^{^{'}} (0) = 0

2y^{''}-5y-3y=0

2 y^{^{''}} - 5 y - 3 y = 0