Question: 1. Solve the following Non-Exact differential equations: [Hint : (M, - N2) = f(x)] [Hint : (N - My) = f(y)] (a) y(2x2 -

1. Solve the following Non-Exact differential equations: [Hint : (M, - N2)

1. Solve the following Non-Exact differential equations: [Hint : (M, - N2) = f(x)] [Hint : (N - My) = f(y)] (a) y(2x2 - ry + 1)dr + (x y)dy = 0 (b) (3r2y +2ry)dr + (2a y3 - a)dy = 0 %3D (c) y(y? 2x2)da + x(2y? a2)dy = 0 %3D IM+yN 3ry(y-r (d) (r2y? +ry+ 1)ydx + (ay? xy+ 1)xdy = 0 Hint : M-yN %3D [Hint : (My N.) = f(x)] [Hint : I.F. = r"yk] (e) (ry - e")dr - a ydy 0 %3D (f) y(ry+ 2x2y)dr +x(xy - a?y)dy = 0 (g) (xy sin ry + cos ry)ydx + (ry sin ry cos ry)rdy = 0 Hint : I.F. = - Ny (h) (2ryte" + 2ry + y)dr + (xy*e a?y? 3x)dy = 0 [Hint : (N, - M,) = f(y)]

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