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Beliebt Rechnen >

(d^2y)/(dx^2)+9y=5sin(4x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + 9 y = 5 sin (4 x)

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{5}{7} sin (4 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 9 y = 5 sin (4 x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{5}{7} sin (4 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{5}{7} sin (4 x)

Graph

Beliebte Beispiele

2y^{''}+27y=e^t-e^{-t},y^t(0)=2,y(0)=0

2 y^{^{''}} + 27 y = e^{t} - e^{- t}, y^{t} (0) = 2, y (0) = 0

y^{''}-2/5 y=-x^2

y^{^{''}} - \frac{2}{5} y = - x^{2}

3y^{''}-2y^'+2y=x+5

3 y^{^{''}} - 2 y^{^{'}} + 2 y = x + 5

y^{''}-y^'=sin(t)

y^{^{''}} - y^{^{'}} = sin (t)

y^{''}+c*y=g(x),y(0)=0,y^'(0)=0

y^{^{''}} + c \cdot y = g (x), y (0) = 0, y^{^{'}} (0) = 0