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If `y_1` and `y_2` are two solutions to the differential equation `(dy)/(dx)+P(x)y=Q(x)` . Then prove that `y=y_1+c(y_1-y_2)` is the general solution to the equation where `c` is any constant.

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  13. The solution of the equation (dy)/(dx)=(x(2logx+1))/(siny+ycosy) is

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  14. The solution of the equation log ((dy)/(dx))=a x+b y is

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  15. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2) ...

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  16. The equation of the curves through the point (1, 0) and whose slope...

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  19. The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by

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