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Beliebt Rechnen >

S^{''}+16S=0,S(0)=4,S^'(0)=2

Lösung

S^{^{''}} + 16 S = 0, S (0) = 4, S^{^{'}} (0) = 2

Lösung

S (t) = 4 cos (4 t) + \frac{1}{2} sin (4 t)

Schritte zur Lösung

S^{''} (t) + 16 S (t) = 0

Solve linear ODE:

S (t) = 4 cos (4 t) + \frac{1}{2} sin (4 t)

S (t) = 4 cos (4 t) + \frac{1}{2} sin (4 t)

Graph

Beliebte Beispiele

y^{''}-y^'-20y=0,y(0)=α,y^'(0)=2

y^{^{''}} - y^{^{'}} - 20 y = 0, y (0) = α, y^{^{'}} (0) = 2

144y^{''}-312y^'+169y=0

144 y^{^{''}} - 312 y^{^{'}} + 169 y = 0

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

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

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