Q. 23.7( 6 Votes )
Form the differential equation corresponding to y = emx by eliminating m.
Given equation, y = emx
On differentiating the above equation with respect to x we get
But y = emx
Now we have, y = emx
Applying log on both sides, we get,
log y = mx
So, putting this value of m in we get
Hence, is the differential equation corresponding to y = emx.
Rate this question :
Solve the differential equation given that whenMathematics - Board Papers
The general solution of ex cosy dx – ex siny dy = 0 is:Mathematics - Exemplar
The differential equation represents:Mathematics - Exemplar
Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y–axis.Mathematics - Board Papers
Solve the differential equationMathematics - Exemplar
Given that and y = 0 when x = 5.
Find the value of x when y = 3.Mathematics - Exemplar
Find the equation of a curve passing through origin and satisfying the differential equationMathematics - Exemplar