1. Use any appropriate method in finding the indicated solution of the following differential equations. 1. (1+ Inx)dx +(1+ lny)dy = 0 2. xcos²y dx + tanydy = 0 3. xcos? (2) – y| dx + xdy = 0; when x = 1,y == 4. x(x² + y²)²Cydx – xdy) + y®dy = 0 5. (ху? + у — х)dx + x(ху + 1)dy %3D0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2,y = 1 7. y'tanx sin2y = sin²x + cos²y 8. (x + 2y – 1)dx + (2x + 4y – 3)dy = 0 9. (х — 1)у' %— у+2(х— 1)3 10. хdy — ydx — хузdх — ху3nxӑx — 0 %3D

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