Question

In: Advanced Math

5) Solve 2yy’’ = 1 + (y’)^2

Expert Solution

Let

,

then

Moreover,

Substituting the value of in the given question, we get

Intergrating both sides, we get

Thus,

where . Using above equation to find the value of , we get

Integrating both sides we get

Squaring both sides we get

Since we had a second order differential equation, we have got two solutions one corresponding with and another one with .

Colby Messinger answered 2 years ago

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