naivlingr

Answered

2020-11-23

Write an equivalent first-order differential equationand initial condition for y

Answer & Explanation

liannemdh

Expert

2020-11-24Added 106 answers

First we find the first-order differential equation by differentiating both sides with respect to x

As according to fundamental theorem of calculus

So we can write (2) as

Now we find the initial conditions for y

The equation is of the form

Now on comparing this with equation (1) we get

So, the initial condition for y is

Therefore the first order differential equation is

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