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Beliebt Rechnen >

y^{''}+y=3cos(t)

Lösung

y^{^{''}} + y = 3 cos (t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + y = 3 cos (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-16y=sin(2x)-3cos(2x)

y^{^{''}} - 16 y = sin (2 x) - 3 cos (2 x)

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

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

y^{''}-y^'=e^{2x}-4x

y^{^{''}} - y^{^{'}} = e^{2 x} - 4 x

y^{''}+2y^'+y=e^{-x}sqrt(1+x)

y^{^{''}} + 2 y^{^{'}} + y = e^{- x} 1 + x

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

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