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人気のある微分積分 >

(1+ln(x)+y/x)dx=(7-ln(x))dy

解

(1 + ln (x) + \frac{y}{x}) d x = (7 - ln (x)) d y

解

y = \frac{x ln ( x )}{7 - ln ( x )} + \frac{c _{1}}{7 - ln ( x )}

解答ステップ

(1 + ln (x) + \frac{y}{x}) d x = (7 - ln (x)) d y

線形 ODE を解く:

y = \frac{x ln ( x )}{7 - ln ( x )} + \frac{c _{1}}{7 - ln ( x )}

y = \frac{x ln ( x )}{7 - ln ( x )} + \frac{c _{1}}{7 - ln ( x )}

グラフ

人気の例

limit as x approaches-7 of sqrt(1/(x+7))

x \to - 7 lim (\frac{1}{x + 7})

laplacetransform [t]

l a pl a ce t r an s f or m [t]

derivative of ln(e^{6x})

\frac{d}{d x} (ln (e^{6 x}))

integral of (1/(sqrt(9-x^2)))

\int (\frac{1}{9 - x ^{2}}) d x

f^{''}(x)=(7+6x)^{e^{-5x}}

f^{^{''}} (x) = (7 + 6 x)^{e^{- 5 x}}