(dy)/(dx)-2xy=6x,y(0)=-7

Lösung

\frac{d y}{d x} - 2 x y = 6 x, y (0) = - 7

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

Schritte zur Lösung

\frac{d y}{d x} - 2 x y = 6 x

Solve linear ODE:

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

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

\frac{d}{d x} (7 - \frac{4}{x - 8} + \frac{2 x}{3 x + 1})

\int \frac{31}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

\int tan (6 x + 1) d x

\frac{d}{d x} ((- 2 x + 3 x^{- 2}) ln (x))

d er i v a t i v e arcsin (\frac{x}{7})