(dy}{dx}=\frac{e^{sqrt(x)})/y

解答

\frac{d y}{d x} = \frac{e ^{x}}{y}

y = 4 (x e^{x} - e^{x}) + c_{1}, y = - 4 (x e^{x} - e^{x}) + c_{1}

求解步骤

\frac{d y}{d x} = \frac{e ^{x}}{y}

求解可分离方程:

y = 4 (x e^{x} - e^{x}) + c_{1}, y = - 4 (x e^{x} - e^{x}) + c_{1}

y = 4 (x e^{x} - e^{x}) + c_{1}, y = - 4 (x e^{x} - e^{x}) + c_{1}

\int - π cos (π x) d x

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

\frac{d y}{d t} + \frac{2}{t} y = 4 t - 3 + \frac{2}{t}

x \to 10 lim (\frac{x - 1 - 3}{x - 10})

d er i v a t i v e 7 u + 2 u