Problems 1. Consider the separable differential equation y' = x²y³. a. Plot the slope field of this differential equation using computer graphing software. b. Find the general solution of this...


Problems<br>1.<br>Consider the separable differential equation y' = x²y³.<br>a. Plot the slope field of this differential equation using computer graphing software.<br>b. Find the general solution of this differential equation using calculus and algebra.<br>c. Show that the initial value problem y' = x²y³; y(1) = -1 has a unique solution<br>using the theorem from section 1.2.<br>

Extracted text: Problems 1. Consider the separable differential equation y' = x²y³. a. Plot the slope field of this differential equation using computer graphing software. b. Find the general solution of this differential equation using calculus and algebra. c. Show that the initial value problem y' = x²y³; y(1) = -1 has a unique solution using the theorem from section 1.2.

Jun 05, 2022
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