2xy(dy)/(dx)=y^2-x^2+1

解答

2 x y \frac{d y}{d x} = y^{2} - x^{2} + 1

y = - x^{2} - 1 + c_{1} x, y = - - x^{2} - 1 + c_{1} x

求解步骤

2 x y \frac{d y}{d x} = y^{2} - x^{2} + 1

求解贝努力方程:

y = - x^{2} - 1 + c_{1} x, y = - - x^{2} - 1 + c_{1} x

y = - x^{2} - 1 + c_{1} x, y = - - x^{2} - 1 + c_{1} x

t an g e n t 100 x^{2} + 400 x + 5000, 0.5

\int e^{y (1 - x)} d x

\frac{d}{d x} y = 7 x^{2} cos (x) cot (x)

\frac{d y}{d x} + e^{x} y = - 9 e^{x}

\int \frac{( 2 x ^{3} + 3 x )}{x ^{4} + 3 x ^{2} + 7} d x