If Dy/dx=cos(x/2) and y(0)=3 find y(x)

Question

I really confuse with problem, can you help me to find the answer please

Answer 1

You are simply being asked to find the primitive (or indefinite integral) of cos(x/2) and to determine the constant of integration based on the initial condition y(0) = 3, i.e. the value of the indefinite integral at 0 is 3.

You can get the integral by the simple substitution of u = x/2

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