Q. 155.0( 2 Votes )

# Find the equation of a curve passing through origin and satisfying the differential equation

Answer :

**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+x^{2}=t

2x dx=dt

**Formula:**

Substituting t=1+x^{2}

IF=1+x^{2}

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 :

Solve the differential equation given that when

Mathematics - Board PapersThe general solution of e^{x} cosy dx – e^{x} siny dy = 0 is:

The differential equation represents:

Mathematics - ExemplarForm the differential equation of the family of parabolas having vertex at the origin and axis along positive y–axis.

Mathematics - Board PapersSolve the differential equation

Mathematics - ExemplarGiven that and y = 0 when x = 5.

Find the value of x when y = 3.

Mathematics - ExemplarFind the equation of a curve passing through origin and satisfying the differential equation

Mathematics - Exemplar