Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:y=1+x2 : yprime=1+x2xy
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The solution of dydx=1−x2−y2+x2y2−−−−−−−−−−−−−−−√ is
Let y(x) be a solution of the differential equation (1+ex)yprime+yex=1. If y(0)=2 , then which of the following statements is (are) true? (a)y(−4)=0 (b)y(−2)=0 (c)y(x) has a critical point in the interval (−1,0) (d)y(x) has no critical point in the interval(−1,0)
An integrating factor of the differential equation sinxdydx+2ycosx=1 is
Find the particular solution of the differential equation (1+e2x)dy+(1+y2)exdx=0,
given that y=1
Which of the following does not represent the orthogonal trajectory of the system of curves (dydx)2=ax
What is the degree of the differential equationkd2ydx2=[1+(dydx)3]3/2, where k is a constant?
The general solution the differential equationdydx−tany1+x=(1+xe)xsecy is