(dy)/(dx)+3x^2y=9x^2

解答

\frac{d y}{d x} + 3 x^{2} y = 9 x^{2}

y = e^{- x^{3} + c_{1}} + 3

求解步骤

\frac{d y}{d x} + 3 x^{2} y = 9 x^{2}

求解可分离方程:

y = e^{- x^{3} + c_{1}} + 3

y = e^{- x^{3} + c_{1}} + 3

d er i v a t i v e - \frac{1}{x ^{2} ( sec ^{2} ( y ) )}

\int e^{2 x - 3} d x

x^{2} y^{^{'}} + 2 x y = 9 cos^{2} (x)

x \to 1 + lim (∣ x ∣)

\int - x^{2} \cdot sin (x) d x