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Beliebt Rechnen >

y^{''}-8y^'-4y-2=2x

Lösung

y^{^{''}} - 8 y^{^{'}} - 4 y - 2 = 2 x

Lösung

y = c_{1} e^{2 (2 + 5) x} + c_{2} e^{2 (2 - 5) x} - \frac{x}{2} + \frac{1}{2}

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) - 4 y - 2 = 2 x

Solve linear ODE:

y = c_{1} e^{2 (2 + 5) x} + c_{2} e^{2 (2 - 5) x} - \frac{x}{2} + \frac{1}{2}

y = c_{1} e^{2 (2 + 5) x} + c_{2} e^{2 (2 - 5) x} - \frac{x}{2} + \frac{1}{2}

Graph

Beliebte Beispiele

((d^2)-1)y=xsin(x)+(1+x^2)e^x

((d^{2}) - 1) y = x sin (x) + (1 + x^{2}) e^{x}

y^{''}-5y^'+6y=g(x)

y^{^{''}} - 5 y^{^{'}} + 6 y = g (x)

y^{''}+y+2sin(x)=0

y^{^{''}} + y + 2 sin (x) = 0

y^{''}-2y^'+y=2sin(t),y^'(0)=2,y(0)=1

y^{^{''}} - 2 y^{^{'}} + y = 2 sin (t), y^{^{'}} (0) = 2, y (0) = 1

(D^2+1)y=e^{-x}+cos(x)+x^3

(D^{2} + 1) y = e^{- x} + cos (x) + x^{3}