Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:xy=logy+C : yprime=1−xyy2(xy=1)
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Find the orthogonal trajectories of family of curves x2+y2=cx
Which of the following does not represent the orthogonal trajectory of the system of curves (dydx)2=ax
If xdy=ydx+y2dy,y>0 andy(1)=1, then what is y(−3) equal to?
The solution to of the differential equation(x+1)dydx−y=e3x(x+1)2 is
If y=log∣cx∣x (where c is an arbitrary constant) is the general solution of the differential equation dxdy=xy+φ(yx), then the function φ(yx) is
Consider a differential equation of order m and degree n. Which one of the following pairs is not feasible?
Solve the equation dxdy+x1=x2ey
Find the order and degree of the following differential equation: