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Beliebt Rechnen >

y^{''}+3y+2=0

Lösung

y^{^{''}} + 3 y + 2 = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-14y^'+49y=21x+6

y^{^{''}} - 14 y^{^{'}} + 49 y = 21 x + 6

y^{''}-8y^'+16=0,y(0)=4,y(1)=5

y^{^{''}} - 8 y^{^{'}} + 16 = 0, y (0) = 4, y (1) = 5

4y^{''}+6y^'+25y=4cos(2t)

4 y^{^{''}} + 6 y^{^{'}} + 25 y = 4 cos (2 t)

y^{''}+8y^'+6y=18x^2

y^{^{''}} + 8 y^{^{'}} + 6 y = 18 x^{2}

y^{''}+4y+5y=35e^{-4x},y(0)=-6,y^'(0)=1

y^{^{''}} + 4 y + 5 y = 35 e^{- 4 x}, y (0) = - 6, y^{^{'}} (0) = 1