(i) Solution of the DE y‘ – y = 0 is y = …………. (ii) Solve the DE ⇒ dy/dx + ysecx = tanx

Question

(i) Solution of the DE y^‘ – y = 0 is y = ………….

(ii) Solve the DE ⇒\(\frac{dy}{dx} + ysec x = tanx\)

(iii) Form the DE of the family of ellipse having foci on the x - axis and centre at the origin.

Answer 1

(i) \(\frac{dy}{dx}\) = y ⇒ \(\frac{dy}{y}\) = dx

Integrating in both sides