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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- x} + \frac{1}{2} x - \frac{1}{20} sin (2 x) - \frac{2}{5} cos (2 x) - sin^{2} (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + \frac{1}{2} x - \frac{1}{20} sin (2 x) - \frac{2}{5} cos (2 x) - sin^{2} (x)

y = c_{1} + c_{2} e^{- x} + \frac{1}{2} x - \frac{1}{20} sin (2 x) - \frac{2}{5} cos (2 x) - sin^{2} (x)

Graph

Beliebte Beispiele

fläche x=-2,x=1,y=11x,y=x^2-12

a re a x = - 2, x = 1, y = 11 x, y = x^{2} - 12

derivative of sqrt(400-5x)

\frac{d}{d x} (400 - 5 x)

integral of v(u+v^2)^4

\int v (u + v^{2})^{4} d u

integral of sin(θ)

\int sin (θ) d θ

derivative of sqrt(6)x+sqrt(7x)

\frac{d}{d x} (6 x + 7 x)