y^{''}+49y=csc(7x)

Lösung

y^{^{''}} + 49 y = csc (7 x)

y = c_{1} cos (7 x) + c_{2} sin (7 x) - \frac{1}{7} x cos (7 x) + \frac{1}{49} ln (sin (7 x)) sin (7 x)

Schritte zur Lösung

y^{''} (x) + 49 y = csc (7 x)

Solve linear ODE:

y = c_{1} cos (7 x) + c_{2} sin (7 x) - \frac{1}{7} x cos (7 x) + \frac{1}{49} ln (sin (7 x)) sin (7 x)

y = c_{1} cos (7 x) + c_{2} sin (7 x) - \frac{1}{7} x cos (7 x) + \frac{1}{49} ln (sin (7 x)) sin (7 x)

y^{^{''}} + y^{^{'}} + 2 = 0

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

y^{^{''}} - 4 y^{^{'}} + 4 y = 5 t^{2}

y^{^{''}} + 3 y^{^{'}} - 4 y = 3 e^{x}

y^{^{''}} - y^{^{'}} + y = 12 sin (t) - 4 e^{2 t}