General solution of differential equation (x ^ 2 cosx-y) DX + XDY = 0

xdy-ydx=-x^2cosxdx
(xdy-ydx)/x^2=-cosxdx
d(y/x)=-cosxdx
Integral on both sides: Y / x = - SiNx + C
y=-xsinx+Cx

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1. Given that Ω = {(x, y) | x | ≤ 1, | y | ≤ 1}, a is a region bounded by the curve y = x & # 178; and y = x & # 189; if a point P is randomly cast on the region Ω Find the probability of P point falling into area A
2. I = ∫∫ (D is the integral region) | √ (X & # 178; + Y & # 178;) - 1| D σ is calculated. The region D is surrounded by the curve y = √ (2x-x & # 178;) and X axis
3. What is the area of the area enclosed by the curve expressed by the equation LXL / 4 + Lyl / 3 = 1
4. The area of the figure represented by the equation LXL + Lyl = 1 is?
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6. LXL Lyl = 1,
7. Draw the image of the function y = LXL + 3, and use the image to answer the following questions: (1) when x is the value of y = LXL + 3, which value does Y increase with the increase of X (2) does the function y = LXL + 3 have a maximum value? Does the function y = LXL + 3 have a minimum value? (3) what is the maximum value of the function y when x is? It's urgent today·····
8. What graph is the curve represented by equation √ 1-lxl = √ 1-y (some numbers, x, y are all in the root sign)
9. Draw a rough image of y = l1-x & # 178; L / (1-lxl). Please tell me how to draw it,
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