Solve the following DEs or IVPS: 1. x cos² y dx + e tan y dy = 0 2. (1+ y cos x) dx - sin x dy = 0, 3. (v³ + ydr = 1, y >0 y(π/2) = 1. 4. (3x²+6xy²)dx + (6x²y + 4y³)dy = 0 5. xy dx + (x² + y²) dy = 0, x > 1, OR y(2) = 1. xydy+ (x² + y²) dx = 0, y > 1, x(2) = 1 6. xy³ dx+(y+ 1)e* dy = 0 7. x dy = y(1+lny - ln x) dx