y^{''}+y=sin(t)cos(t)

Lösung

y^{^{''}} + y = sin (t) cos (t)

y = c_{1} cos (t) + c_{2} sin (t) - \frac{cos ( t ) sin ( t )}{3}

Schritte zur Lösung

y^{''} (t) + y = sin (t) cos (t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{cos ( t ) sin ( t )}{3}

y = c_{1} cos (t) + c_{2} sin (t) - \frac{cos ( t ) sin ( t )}{3}

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{( 2 e ^{- 3 x} )}{x ^{2} + 1}

y^{^{''}} + y = x^{2} + 1, y (0) = 7, y (1) = 0

y^{^{''}} - 8 y^{^{'}} + 15 y = 64 e^{t}

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 8 y = 3 cos (x)

\frac{d ^{2} y}{d x ^{2}} - 14 \frac{d y}{d x} + 49 y = 3 e^{7 x}