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Beliebt Rechnen >

y^{''}+y=10sin(2t)+7tcos(2t)

Lösung

y^{^{''}} + y = 10 sin (2 t) + 7 t cos (2 t)

Lösung

y = c_{1} cos (t) + c_{2} sin (t) - \frac{7 t cos ( 2 t )}{3} - \frac{2}{9} sin (2 t)

Schritte zur Lösung

y^{''} (t) + y = 10 sin (2 t) + 7 t cos (2 t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{7 t cos ( 2 t )}{3} - \frac{2}{9} sin (2 t)

y = c_{1} cos (t) + c_{2} sin (t) - \frac{7 t cos ( 2 t )}{3} - \frac{2}{9} sin (2 t)

Graph

Beliebte Beispiele

y^{''}-10y^'+25y=6e^{5x}

y^{^{''}} - 10 y^{^{'}} + 25 y = 6 e^{5 x}

y^{''}+8y^'+16y=-5xe^{-3x}+3e^{-4x}-4

y^{^{''}} + 8 y^{^{'}} + 16 y = - 5 x e^{- 3 x} + 3 e^{- 4 x} - 4

y^{''}-16y^'+64y=(x+1)e^x

y^{^{''}} - 16 y^{^{'}} + 64 y = (x + 1) e^{x}

y^{''}-4y^'+8y=x^3+x

y^{^{''}} - 4 y^{^{'}} + 8 y = x^{3} + x

y^{''}+4y=6e^{2x},y(0)=1,y^'(0)=3

y^{^{''}} + 4 y = 6 e^{2 x}, y (0) = 1, y^{^{'}} (0) = 3