The general solution of the first order linear differential equation (x ^ 3 + y ^ 3) dx-3xy ^ 2dy = 0 Such as the title

This is a homogeneous equation. By substituting u = Y / X and substituting y with u and X, u can be solved

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1. Ln6y = 3xy, 1) find dy / DX; 2) find d ^ 2Y / DX ^ 2; 3) if d ^ 2Y / DX ^ 2 = 0, the point (x, y) is satisfied
2. Given the equation X3 + 3xy + Y3 = 0, determine y as the function of X to find dy / DX
3. If the slope of a point on the indifference curve dy / DX = - 2, it means that consumers give up a unit of X goods can get () unit of Y goods A、 2 B、 1/2 C、 1/4 D、 4
4. Zhang's income is 270 yuan. The slope of the indifference curve of store X and Y is dy / DX = - 20 / y. The price of XY is 2 and 5 respectively. How much will Zhang consume X and y?
5. Find the slope dy / DX: xy-x = 5 (implicit differential) If you don't understand, I can add a question
6. For the curve X = y ^ 4-y (a), find dy / DX (b). When the slope is 1 / 3, find the tangent equation
7. Can the length formula of any curve be written as ∫ (DX + dy) ^ 1 / 2?
8. ∫ L (x ^ 2 + y ^ 2) DX + (x ^ 2-y ^ 2) dy L is a line segment from a (0,0) to B (1,1) to C (2,0)
9. Z = (1 + x ^ 2 + y ^ 2), then DZ (1,1) is equal to (DX + dy) Such as the title Missed a sign. It should be Z = (1 + x ^ 2 + y ^ 2) open root, then DZ (1,1) is equal to (DX + dy)
10. （2x^2)dy/dx+y=4y^3 The original equation is reduced to (1 / 2x ^ 2) DX = (1 / 4Y ^ 3-y) dy Integral on both sides is - 1 / 6x ^ 3 + C = (1 / 12Y ^ 2-1) ln (4Y ^ 3-y)
11. How to find the general solution of equation 3xy ^ 2dy = (y ^ 3-x ^ 2) DX?
12. (x ^ 3 + y ^ 3) dx-3xy ^ 2dy = 0, general solution of homogeneous equation? Answer: x ^ 3-2y ^ 3 = CX
13. General solution for (x ^ 3 + y ^ 3) dx-3xy ^ 2dy = 0
14. Find the general solution of the differential equation. Dy / dx-3xy = X
15. Finding the solution of dy / DX = 1 / (2x-y ^ 2)
16. Derived from (DX) / (Dy) = 1 / y ': (d ^ 2x) / (Dy ^ 2) = - y' '/ (y') ^ 3 rt In addition, what does "d" mean here? Tongji 6 p.90 suddenly comes out with the derivative function expressed by D, and the concept of "d" has not been explicitly put forward What about (d ^ 3) x / D (y ^ 3)
17. Given dy / DX = Y / 2x-x / 2Y (y = 0 when x = a), the original equation is solved
18. Please explain the topic of dy / DX to me How do dy / dt and DX / dt form
19. Solving the equation dy / DX + 2XY = 4x ...
20. Given the equation xy-e & # 710; 2x = siny, determine the implicit function y = y (x), and find dy / DX Please give the specific steps!