If and y = 1 when x = 0, then find the value of x when y = 3. A. 1/8
B. -π/8
C. -8/π

The ODE

is separable, as

Integrate both sides:

In the left integral, substitute u = πy/4 and du = π/4 dy :

Given that y = 1 when x = 0, we have

since tan(π/4) = 1. So the ODE has a particular solution of

or

Now when y = 3, we have

making the answer C.

step-by-step explanation:

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