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Beliebt Rechnen >

y^{''}+4y=5sec(2x)

Lösung

y^{^{''}} + 4 y = 5 sec (2 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y = 5 sec (2 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y=e^t+t^3,y(0)=2,y^'(0)=0

y^{^{''}} + y = e^{t} + t^{3}, y (0) = 2, y^{^{'}} (0) = 0

y^{''}-4y^'-12y=3e^{5t}

y^{^{''}} - 4 y^{^{'}} - 12 y = 3 e^{5 t}

y^{''''}+4y=2e^{3x}

y^{^{''''}} + 4 y = 2 e^{3 x}

(d^2y)/(dt^2)+5(dy)/(dt)+4y=2t

\frac{d ^{2} y}{d t ^{2}} + 5 \frac{d y}{d t} + 4 y = 2 t

y^{''}+4y^'+8=0

y^{^{''}} + 4 y^{^{'}} + 8 = 0