dx d'x Find the solution of the differential equation 7 +x= e' with x=2, dx 1 at t=0. dt

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A: We have y'=xy+xe−x2

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Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

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Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: y' = log,(Px- y) where, dy %3D dx solution of this differential equation is

A: Introduction  :

Q: Solve the differential equation xy'+y = x^(8) ln x, given that when x=1, y=3. Solve for y.

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Q: Solve the differential equation using simple substitution. dy/dx = e^(x+siny)

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