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The slope of the tangent to the curve at...

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

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To find the equation of the curve whose slope of the tangent at any point is equal to \( y + 2x \) and that passes through the origin, we can follow these steps: ### Step 1: Set up the differential equation Given that the slope of the tangent to the curve at any point is equal to \( y + 2x \), we can express this as a differential equation: \[ \frac{dy}{dx} = y + 2x \] ...
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