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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+y=x^2

\frac{d ^{2} y}{d x ^{2}} + y = x^{2}

4y^{''}-y=e^{x/2}+7

4 y^{^{''}} - y = e^{\frac{x}{2}} + 7

y^{''}+6y^'+13y=e^{-3x}cos(2x)

y^{^{''}} + 6 y^{^{'}} + 13 y = e^{- 3 x} cos (2 x)

y^{''}+y^'-6y=2x^2+1

y^{^{''}} + y^{^{'}} - 6 y = 2 x^{2} + 1

y^{''}+4y=3sin(3t)

y^{^{''}} + 4 y = 3 sin (3 t)