Application MCQs

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1.
The solution of dy/dx = e^(x-y) with y(0) = 0 is:
2.
The substitution y = vx in dy/dx = (x + y)/(x - y) gives:
3.
The solution of dy/dx + y = e^(-x), y(0) = 1 is:
4.
For the equation dy/dx + y = y^2 * e^x, the substitution v = 1/y gives:
5.
The differential equation of all circles passing through the origin and having center on the x-axis is:

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