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 >

x^3y^{'''}-2x^2y^{''}+13xy^'-13y=0

解

x^{3} y^{^{'''}} - 2 x^{2} y^{^{''}} + 13 x y^{^{'}} - 13 y = 0

解

y = c_{1} x + x^{2} (c_{2} cos (3 ln (x)) + c_{3} sin (3 ln (x)))

解答ステップ

x^{3} y^{'''} (x) - 2 x^{2} y^{''} (x) + 13 x y^{'} (x) - 13 y = 0

線形 ODE を解く:

y = c_{1} x + x^{2} (c_{2} cos (3 ln (x)) + c_{3} sin (3 ln (x)))

y = c_{1} x + x^{2} (c_{2} cos (3 ln (x)) + c_{3} sin (3 ln (x)))

グラフ

人気の例

面積 y= 3/x ,y= 3/(x^2),x=5

a re a y = \frac{3}{x}, y = \frac{3}{x ^{2}}, x = 5

integral of (sec^2(x))/(tan^2(x)-1)

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

limit as x approaches 0 of csc(x)+cot(x)

x \to 0 lim (csc (x) + cot (x))

tangent f(x)=2x^3-2x^2+8,(3,44)

t an g e n t f (x) = 2 x^{3} - 2 x^{2} + 8, (3, 44)

derivative y=(x-1)^{3/2}+(e^{x-2})/2

d er i v a t i v e y = (x - 1)^{\frac{3}{2}} + \frac{e ^{x - 2}}{2}