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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+9y^'+18y=x+e^{-x}

y^{^{''}} + 9 y^{^{'}} + 18 y = x + e^{- x}

(D^2+1)y=sec(xtan(x))

(D^{2} + 1) y = sec (x tan (x))

4x^{''}+kx=8sin(t)

4 x^{^{''}} + k x = 8 sin (t)

y^{''}-2y^'+y=x^2-2-2cos(x)

y^{^{''}} - 2 y^{^{'}} + y = x^{2} - 2 - 2 cos (x)

31y^{''}+800y=100cos(4t),y(0)=0,y^'(0)=0

31 y^{^{''}} + 800 y = 100 cos (4 t), y (0) = 0, y^{^{'}} (0) = 0