Question

write the type of differential equation : dy/dx=1+x+y+xy​

Answer 1

Answer:

dy/dx = 1+x+y+xy

Step-by-step explanation:

Step 1: simplify

dy/dx = 1 (1+x) + y(1+y)

Step 2: Group common terms

dy/dx = (1+x) (1+y)

dy/ (1+y) = dx (1+x)

Step 3: Integrate

∫dy/ (1+y) = ∫ dx (1+x)

ln (1+y) = (x+x^2)/2 + c