Question 2 Consider the DE 3y2-t dy 0. 2y 1/2 (a) Indicate the independent and dependent variables of the DE. (b) Show that the differential equation is exact. Clearly indicate the functions M(t, y)...

Question 2<br>Consider the DE<br>3y2-t dy<br>0.<br>2y<br>1/2<br>(a) Indicate the independent and dependent variables of the DE.<br>(b) Show that the differential equation is exact. Clearly indicate the functions M(t, y)<br>and N(t, y).<br>(c) Using the method for exact equations, solve the DE. Use f(t, y) as the function<br>whose differential gives the differential equation.<br>(d) Determine the solution that satisfies y(1) = 1.<br>

Extracted text: Question 2 Consider the DE 3y2-t dy 0. 2y 1/2 (a) Indicate the independent and dependent variables of the DE. (b) Show that the differential equation is exact. Clearly indicate the functions M(t, y) and N(t, y). (c) Using the method for exact equations, solve the DE. Use f(t, y) as the function whose differential gives the differential equation. (d) Determine the solution that satisfies y(1) = 1.

Jun 04, 2022

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Question 2 Consider the DE 3y2-t dy 0. 2y 1/2 (a) Indicate the independent and dependent variables of the DE. (b) Show that the differential equation is exact. Clearly indicate the functions M(t, y)...

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