Question

log ( dy/dx +1 ) = x+y , find the general solution of differential equation.​

Answer 1

Answer:

eˣ⁺ʸ ( c - x ) = 1

Step-by-step explanation:

Given--> log ( dy/dx + 1 ) = x + y

To find ---> Solution of given differential equation

Solution--->(1) Plzzz refer to the attachment

(2) We know that

If, log a = b

=> a = eᵇ , applying this in 2nd step

3) We know that

xᵐ⁺ⁿ = xᵐ xⁿ , in third step applying this

4) Then substituting

e⁻ʸ = v and e⁻ʸ dy/dx = dv/dx , we get a linear differential equation in v , by solving which we get solution.