Show that is a general solution of

I began by subtracting from each side of the equation which produces the separable differential equation . After separating the equation, I integrate both sides of it with respect to the appropriate variables. This will look like . After the integration process I will obtain the formula . In order to solve for as a function of , I exponentiate each side of the equation to obtain the formula . Then, using the additive power rule of exponents I can write the right hand side of the formula as the product . Since is a constant itself, I can write that as just and move it in front of the exponent so that my final function looks like the function above.