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Beliebt Rechnen >

y^{''}+3y^'=(10sin(7t))/2

Lösung

y^{^{''}} + 3 y^{^{'}} = \frac{10 sin ( 7 t )}{2}

Lösung

y = c_{1} + c_{2} e^{- 3 t} - \frac{5}{58} sin (7 t) - \frac{15}{406} cos (7 t)

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) = \frac{10 sin ( 7 t )}{2}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} - \frac{5}{58} sin (7 t) - \frac{15}{406} cos (7 t)

y = c_{1} + c_{2} e^{- 3 t} - \frac{5}{58} sin (7 t) - \frac{15}{406} cos (7 t)

Graph

Beliebte Beispiele

y^{''}-4y^'+3y=(e^t)/(1+e^t)

y^{^{''}} - 4 y^{^{'}} + 3 y = \frac{e ^{t}}{1 + e ^{t}}

(d^2y)/(dt^2)+9y=12cos(3t)

\frac{d ^{2} y}{d t ^{2}} + 9 y = 12 cos (3 t)

y^{''}+y=5t^2-9,y(0)=0,y^'(0)=-2

y^{^{''}} + y = 5 t^{2} - 9, y (0) = 0, y^{^{'}} (0) = - 2

y^{''}+4y=x*sin^2(x)

y^{^{''}} + 4 y = x \cdot sin^{2} (x)

y^{''}+9y=cos(t),y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = cos (t), y (0) = 0, y^{^{'}} (0) = 0