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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (\frac{2 x}{3}) + c_{2} sin (\frac{2 x}{3}) + \frac{3 e ^{3} x}{4}

Schritte zur Lösung

3 y^{''} (x) + 4 y = 3 e^{3} x

Solve linear ODE:

y = c_{1} cos (\frac{2 x}{3}) + c_{2} sin (\frac{2 x}{3}) + \frac{3 e ^{3} x}{4}

y = c_{1} cos (\frac{2 x}{3}) + c_{2} sin (\frac{2 x}{3}) + \frac{3 e ^{3} x}{4}

Graph

Beliebte Beispiele

y^{''}-2y^'+2y=ex,y(pi/2)=0,y(0)=0

y^{^{''}} - 2 y^{^{'}} + 2 y = e x, y (\frac{π}{2}) = 0, y (0) = 0

x^{''}+4x^'+20x=4cos(2t)

x^{^{''}} + 4 x^{^{'}} + 20 x = 4 cos (2 t)

y^{''}+y^'-6y=-5e^{-2x}

y^{^{''}} + y^{^{'}} - 6 y = - 5 e^{- 2 x}

y^{''}+y=3cos(4t),y(0)=1,y^'(0)=2

y^{^{''}} + y = 3 cos (4 t), y (0) = 1, y^{^{'}} (0) = 2

x^{''}+x= 1/(cos(t))

x^{^{''}} + x = \frac{1}{cos ( t )}