Q. 36 D5.0( 1 Vote )

Solve each of the following initial value problems

(xy–y2)dx+x2dy=0,y(1) = 1

Answer :

(xy)dxdy = 0,y(1) = 1



It is a homogeneous equation


Put y = vx


And


So,








Put y = 1, x = 1


c = 1


Using equation(1),


x = y(log x + 1)



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