Need help for one math question

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To solve the differential equation f'(x) = f(x) + x with the initial condition f(0) = 3, first rewrite it in standard form as y' - y = x. The integrating factor method is recommended, which involves finding an integrating factor to simplify the equation. After integrating, apply the initial condition to determine the constant value. This approach leads to the solution of the first-order linear differential equation.
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Find the function f(x) which satisfies f'(x)=f(x) + x, f(0)=3.

first do wen need to ingerate the derivative of f(x), and then put f(0)= 3 to find the constant value for c, ... am i right?


help , help
 
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Do you know how to solve first order linear differential equations?
 
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