Home
Class 12
MATHS
Verify that each of the following functi...

Verify that each of the following functions `y:R rarr R`, as defined below, is the solution of the accompanying initial value problems :
`y=e^(x):y'=y, y(0)=1`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (c) Short Answer Type Questions|18 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (c) Long Answer Type Questions (I)|26 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (b) Short Answer Type Questions|10 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Verify that each of the following functions y:R rarr R , as defined below, is the solution of the accompanying initial value problems : y=x^(2)+2x+1, y'''=0, y(0)=1, y'(0)=2, y''(0)=2

Verify that each of the following functions y:R rarr R , as defined below, is the solution of the accompanying initial value problems : y= cos x (x in R): y''+y=0, y(0)=1, y'(0)=0 .

Solve the following initial value problem: (dy)/(dx)=2e^(2x)y^(2),y(0)=1

Solve the initial value problem: dy=e^(2x+y)dx,y(0)=0

Solve the following initial value problem: (dy)/(dx)=y sin2x,y(0)=1

Solve the following initial value problem: (dy)/(dx)=y sin2x,y(0)=1

Solve the following initial value problem: (dy)/(dx)=y tan x,y(0)=1

Solve each of the following initial value problem: y'+y=e^(x),y(0)=(1)/(2)

Solve each of the following initial value problems: (xe^(y/x)+y)dx=xdy,y(1)=1

Solve the following initial value problems: (x-y)(dx+dy)=dx-dy,y(0)=-1

Home
Profile