Answer:
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The explicit solution to the differential equation is y = tan x
<h3>Differential equation</h3>
Given the differential function:

Using the variable separable method;

Integrate both sides of the equation


Using the initial condition y(0) = 0
If x = 0
0 = tan(0 + C)
0 = tanC
C = arctan 0
C = 0
Recall that y = tan (x+C)
y = tan(x+0)
y = tan x
Hence the explicit solution to the differential equation is y = tan x
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