Question: Consider the differential equation y 3 y' 9x 2 = 0. (a) Write it as y dy = 9x dx. (b) Integrate both sides

Consider the differential equation y³y' − 9x²= 0.

(a) Write it as y dy = 9x dx. (b) Integrate both sides to obtain y4 = 3x + C. (c) Verify that y = (12x + C)/4

(a) Write it as y dy = 9x dx. (b) Integrate both sides to obtain y4 = 3x + C. (c) Verify that y = (12x + C)/4 is the general solution. (d) Find the particular solution satisfying y(1) = 2.

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