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What Function Solves the Differential Equation F'(x)=3x^2 Y=-6x^3+C Y=6x^3+C Y=6x+C Y=x^3+C Y=-x^3+C

Question

What function solves the differential equation f'(x)=3x^2 y=-6x^3+C y=6x^3+C y=6x+C y=x^3+C y=-x^3+C

Solution

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Answer

###

Explanation

## Step 1: Integrate both sides### To solve the differential equation , we need to integrate both sides of the equation with respect to . This reverses the differentiation process.## Step 2: Apply the power rule of integration### The power rule of integration states that , where and is the constant of integration. Applying this rule to our integral, we get .