Question

1 point
18. If dy - y - x
, y(0) = 1 then by Picard's method the value of y" (x) =
dx
y + x
a) 1+x+2 log(1+x)
c) 1+ x - 2 log(1 + x)
b) 1- x + 2 log(1 + x)
d) none
O
a
O
O
C
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Answer 1

Answer:

Here is a step-by-step method for solving them:

Substitute y = uv, and. ...

Factor the parts involving v.

Put the v term equal to zero (this gives a differential equation in u and x which can be solved in the next step)

Solve using separation of variables to find u.

Substitute u back into the equation we got at step 2.