y^{''}+6y=-294x^2e^{6x}

Lösung

y^{^{''}} + 6 y = - 294 x^{2} e^{6 x}

y = c_{1} cos (6 x) + c_{2} sin (6 x) - 7 x^{2} e^{6 x} + 4 x e^{6 x} - \frac{17}{21} e^{6 x}

Schritte zur Lösung

y^{''} (x) + 6 y = - 294 x^{2} e^{6 x}

Solve linear ODE:

y = c_{1} cos (6 x) + c_{2} sin (6 x) - 7 x^{2} e^{6 x} + 4 x e^{6 x} - \frac{17}{21} e^{6 x}

y = c_{1} cos (6 x) + c_{2} sin (6 x) - 7 x^{2} e^{6 x} + 4 x e^{6 x} - \frac{17}{21} e^{6 x}

\int_{1}^{e^{5}} \frac{ln ( x )}{x ^{2}} d x

\frac{d}{d x} (- 4 x^{3})

x \frac{d y}{d x} + y = 9 x y^{2}, y (1) = 2

t an g e n t f (x) = \frac{7 x}{x - 1}, (2, 14)

\frac{\partial}{\partial x} (sin (8 x) cos (4 y))