Solve the following differential equations. dr 1. +3 = 6x ; 2. +r tane = cose; 3.

Solve the following differential equations. 

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dr 1. +3 = 6x ; 2. +r tane = cose; 3. (u2 + 1) + 4uv = 3u de du 4. y?dx + (3xy – 1)dy = 0; 5. x(1- x² )dy + (2 x²y - y - ax³)dy = 0 dy 6. cos?x (x- etany) +y = tanx; 7. (1+ y²) + dx dx dy 8. (xlogx)+y = 2 log x 9. dx dy - 2y tanx = y2 tan?x; 10. (x3y3 + xy) = 1 dx 11. (1– x²) 2 + xy = xy2; 12. - y secx = y2sin x cos x dy dx dx dy + Py Qy" -(1) dx Where P and Q are constants or functions of x alone (and not of y) and n is constant except 0 and 1, is called a Bernoulli's differential equation. dr 1. +3 = 6x ; 2. +r tane = cose; 3. (u2 + 1) + 4uv = 3u de du 4. y?dx + (3xy – 1)dy = 0; 5. x(1- x² )dy + (2 x²y - y - ax³)dy = 0 dy 6. cos?x (x- etany) +y = tanx; 7. (1+ y²) + dx dx dy 8. (xlogx)+y = 2 log x 9. dx dy - 2y tanx = y2 tan?x; 10. (x3y3 + xy) = 1 dx 11. (1– x²) 2 + xy = xy2; 12. - y secx = y2sin x cos x dy dx dx dy + Py Qy" -(1) dx Where P and Q are constants or functions of x alone (and not of y) and n is constant except 0 and 1, is called a Bernoulli's differential equation.