Determine whether each ODE is separable or not:\(\frac{dy}{dx}=\frac{x}{y}\): [resp_0]\(\frac{dy}{dx}=x+y^2\): [resp_1]\(\frac{dy}{dx}=x(y-1)\): [resp_2]\(\frac{dy}{dx}=\sqrt{y+x}\): [resp_3]\(\frac{dy}{dx}=x^2(y^2+1)\): [resp_4]\(\frac{dy}{dx}=e^y+x\): [resp_5]

The Treaty of Ghent:restored U.S.-British relations to pre-war conditions

Consider \(y’=(y-5)^2\). After separation of variables we get the solutions: $$y=5-\frac{{1}}{{x+C}}$$. Find the solution satisfying \(y(0)=5\).

Rhode Island ratified the Constitution

Which of the hormones is not secreted by the adrenal cortex?

In the eye, the transparent anterior portion of the fibrous tunic is the 

In his annual message to Congress, which president stressed “the great importance of establishing throughout our country the roads and canals which can best be executed under national authority”?

To help win the war, George Washington’s army used German mercenaries known as Hessians.

Classify each ODE as linear or not linear:\(x’ + 3x = \cos(t)\): [resp_0]\(x(x’)=t\): [resp_1]\(\frac{dx}{dt}=t^3x\): [resp_2]\((x’)^3 + x = 0\): [resp_3]\(x’+\sqrt{t}\,x=0\): [resp_4]\(e^x x’ + x = t\): [resp_5]

A student finds the general solution to \(y’=-2y\) and gives \(y=Ce^{{-2t}}\). What is the issue?