ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

y^'+27y= 1/(x^2)

解

y^{^{'}} + 27 y = \frac{1}{x ^{2}}

解

y = - \frac{1}{x} + \frac{27 Ei ( 27 x )}{e ^{27 x}} + \frac{c _{1}}{e ^{27 x}}

解答ステップ

y^{'} (x) + 27 y = \frac{1}{x ^{2}}

線形 ODE を解く:

y = - \frac{1}{x} + \frac{27 Ei ( 27 x )}{e ^{27 x}} + \frac{c _{1}}{e ^{27 x}}

y = - \frac{1}{x} + \frac{27 Ei ( 27 x )}{e ^{27 x}} + \frac{c _{1}}{e ^{27 x}}

人気の例

integral of x/((1-x^2)^{1/2)}

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

x^4+y^3sqrt(x^5+4)y^'=0

x^{4} + y^{3} x^{5} + 4 y^{^{'}} = 0

sum from n=1 to infinity of 2/(3^{n-1)}

n = 1 \sum \infty \frac{2}{3 ^{n - 1}}

integral of 5cot^4(x)

\int 5 cot^{4} (x) d x

integral from 1 to 2 of 1/(x^2)-4/(x^3)

\int_{1}^{2} \frac{1}{x ^{2}} - \frac{4}{x ^{3}} d x