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Beliebt Rechnen >

y^{''}+y^'=e^xcos(x)

Lösung

y^{^{''}} + y^{^{'}} = e^{x} cos (x)

Lösung

y = c_{1} + c_{2} e^{- x} + \frac{3}{10} e^{x} sin (x) + \frac{1}{10} e^{x} cos (x)

Schritte zur Lösung

y^{''} (x) + y^{'} (x) = e^{x} cos (x)

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + \frac{3}{10} e^{x} sin (x) + \frac{1}{10} e^{x} cos (x)

y = c_{1} + c_{2} e^{- x} + \frac{3}{10} e^{x} sin (x) + \frac{1}{10} e^{x} cos (x)

Graph

Beliebte Beispiele

(d-1)^3y=e^x+5^x-1

(d - 1)^{3} y = e^{x} + 5^{x} - 1

y^{''}-2y^'+y=12e^{3t},y(0)=-1,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} + y = 12 e^{3 t}, y (0) = - 1, y^{^{'}} (0) = 0

2y^{''}-4y^'+2y=e^xx^{-1}

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

(d^2y)/(dx^2)-5(dy)/(dx)+6y=x^2

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = x^{2}

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

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