Question

Solve the following differential equations:
1. Eliminate a and b from y = ae3x + bet, and find the required ODE?
2. (x + y)2 (xante + y) = xy(1 + aking
3. cos (x + y) dy = dx
4.
y (1 + eš) dx + eš(y – x)dy = 0
5.(x2 + y2)dx – 2xydy = 0
6. cosyay +siny = 1
7.(1 + y2)dx = (tan-ly - x)dy
8. xo + y = (xy)?; y(1) = 4
9. (x2 + y2 + x) dx + xydy = 0
10. (2xyey + 2xy + y)dx + (x2y4eY -- x2y2 - 3x)dy = 0
11. (x4 + y4) dx - xydy = 0
12. y(y2 - 2x2)dx + x(2y2 - x2)dy = 0
13. x = y(1-xtanx)+x cosx
dx​

Answer 1

Answer:

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