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Beliebt Rechnen >

y^{''}+4y=5sec(2t)

Lösung

y^{^{''}} + 4 y = 5 sec (2 t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y = 5 sec (2 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}(e^x+1)+y^'=0

y^{^{''}} (e^{x} + 1) + y^{^{'}} = 0

integral of x^3*sqrt(4-x^2)

\int x^{3} \cdot 4 - x^{2} d x

d er i v a t i v e t

integral of 5/(x(x^4+4))

\int \frac{5}{x ( x ^{4} + 4 )} d x

(\partial)/(\partial x)(xye^{-8(x^2+y^2)})

\frac{\partial}{\partial x} (x y e^{- 8 (x^{2} + y^{2})})