Find the solution of the differential equation that satisfies the given initial condition. dy/dx = 9xe^y, y(0) = 0
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We are given the function 9xey, so we can take the derivative with respect to y to get: dy/dx (9xey) = 9xe^y dy/dx This is a separable differential equation, so we can rearrange and integrate: dy/dx = 9/(xe^y) dy/9 = dx/xe^y Integrating both sides: ln|xe^y| Show more…
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