QUESTION 1 Consider the DE y() = fV). From the following list select fly) such that the DE has a stable equilibrium at y=1, an unstable equiliobrium at y-2, and a semi-stable equilibrium at y...


QUESTION 1<br>Consider the DE<br>y() = fV).<br>From the following list select fly) such that the DE has a stable equilibrium at y=1, an unstable equiliobrium at y-2, and a semi-stable equilibrium at y<br>OAy-1)y-2)2y-3)<br>OB. (y-1)(2- y)(3-y)?<br>OC(1-y(2 - y)(3- y)?<br>OD. (1- y)(y-2)y-3)<br>QUESTION 2<br>After multiplying by an integrating factor the DE<br>y + ytant= sin 2t<br>becomes<br>OA d<br>(y sec t) - 2 sin t<br>dt<br>OB d<br>dt<br>y cos t)= 2 cost<br>Oc d<br>(ytan t) cot 2t<br>dt<br>OD. Remains unchanged.<br>

Extracted text: QUESTION 1 Consider the DE y() = fV). From the following list select fly) such that the DE has a stable equilibrium at y=1, an unstable equiliobrium at y-2, and a semi-stable equilibrium at y OAy-1)y-2)2y-3) OB. (y-1)(2- y)(3-y)? OC(1-y(2 - y)(3- y)? OD. (1- y)(y-2)y-3) QUESTION 2 After multiplying by an integrating factor the DE y + ytant= sin 2t becomes OA d (y sec t) - 2 sin t dt OB d dt y cos t)= 2 cost Oc d (ytan t) cot 2t dt OD. Remains unchanged.

Jun 05, 2022
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