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Beliebt Rechnen >

-2y^{''}+y=e^{-0.2x},y(0)=1,y^'(1)=-y(1)

Lösung

- 2 y^{^{''}} + y = e^{- 0.2 x}, y (0) = 1, y^{^{'}} (1) = - y (1)

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + 1.08695 \dots e^{- 0.2 x}

Schritte zur Lösung

- 2 y^{''} (x) + y = e^{- 0.2 x}

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + 1.08695 \dots e^{- 0.2 x}

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + 1.08695 \dots e^{- 0.2 x}

Graph

Beliebte Beispiele

y^{''}-64y=sinh(8x)

y^{^{''}} - 64 y = sinh (8 x)

y^{''}-y^'-2y=-2x^3+x^2+4x+1

y^{^{''}} - y^{^{'}} - 2 y = - 2 x^{3} + x^{2} + 4 x + 1

y^{''}-4y^'+3y=xe^{2x}

y^{^{''}} - 4 y^{^{'}} + 3 y = x e^{2 x}

y^{''}+4y=3sin(x)+5cos(3x)

y^{^{''}} + 4 y = 3 sin (x) + 5 cos (3 x)

y^{''}+4y=xsin^2(x)

y^{^{''}} + 4 y = x sin^{2} (x)