2(d^2y)/(dx^2)+8y=cos(2x)

Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 8 y = cos (2 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{8}

Schritte zur Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 8 y = cos (2 x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{8}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{8}

\frac{\partial}{\partial x} (2 (x - 1))

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\int \frac{x ^{2} + 7 x - 6}{( x + 1 ) ( x ^{2} - 4 x + 7 )} d x