Please show all work so I can check my steps and correct where I went wrong. 1) Find the general solution to the differential equation: a) y^2(dy/dx) = 8x y = Use C for any constant of integration that you may have in your answer. b) dy/dx = y^2e^(6x) y = Use C for any constant of integration that you may have in your answer.
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Step 1
a) y^2(dy/dx)=8x To solve this differential equation, we need to separate the variables and integrate both sides: y^2(dy/dx)=8x y^2dy=8xdx Integrating both sides: ∫y^2dy = ∫8xdx y^3/3 = 4x^2 + C where C is the constant of integration. Show more…
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