# Find the equation of a curve passing through origin and satisfying the differential equation given: and (0,0) is a solution to the curve

To find: equation of curve satisfying this differential equation

Re-writing the equation as Comparing it with   Calculating integrating factor  Calculating Assume 1+x2=t

2x dx=dt Formula: Substituting t=1+x2  IF=1+x2

Therefore, the solution of the differential equation is given by   Formula: Satisfying (0,0) in the curve equation to find c

0=0+c

c=0

therefore, the equation of curve is  Rate this question :

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