Q. 35.0( 3 Votes )

# Given that and y = 0 when x = 5.

Find the value of x when y = 3.

Answer :

**given**: and (5,0) is a solution of this equation

**To find**: solution of the given differential equation

Re-writing the equation as

Now integrating both sides

**Formula**:

Now it is given that (5,0) is solution to this equation, so satisfying these values to find c

Hence the solution is

e^{2y} = 2x – 9

When y = 3 then,

e^{2(3)} = 2x – 9

e^{6} = 2x – 9

e^{6} + 9 = 2x

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