Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx
= cos(x + y), y(0) = π 2
1 answer:
Let , so that :
Now the ODE is separable, and we have
Integrating both sides gives
For the integral on the left, rewrite the integrand as
Then
and so
Given that , we find
so that the particular solution to this IVP is
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