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Beliebt Rechnen >

3(d^2y)/(dx^2)+(dy)/(dx)-4y=10e^{-3x}

Lösung

3 \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 4 y = 10 e^{- 3 x}

Lösung

y = c_{1} e^{x} + c_{2} e^{- \frac{4 x}{3}} + \frac{1}{2} e^{- 3 x}

Schritte zur Lösung

3 \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 4 y = 10 e^{- 3 x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- \frac{4 x}{3}} + \frac{1}{2} e^{- 3 x}

y = c_{1} e^{x} + c_{2} e^{- \frac{4 x}{3}} + \frac{1}{2} e^{- 3 x}

Graph

Beliebte Beispiele

y^{''}+7y^'+6y=8

y^{^{''}} + 7 y^{^{'}} + 6 y = 8

y^{''}-4y=3e^{2x},y(0)=0,y^'(0)=0

y^{^{''}} - 4 y = 3 e^{2 x}, y (0) = 0, y^{^{'}} (0) = 0

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

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

(d^2+2d+3)y=e^2xsin(x)+3

(d^{2} + 2 d + 3) y = e^{2} x sin (x) + 3

(d - 2)^{3} y = e^{2} x