Find the particular solution of the diff...

Find the particular solution of the differential equation `(dy)/(dx) = 1+x+y+xy,` given that y = 0 when x = 1.

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
OSWAAL PUBLICATION|Exercise LINEAR DIFFERENTIAL EQUATIONS (Long Answer Type Questions - I)|23 Videos
DIFFERENTIAL EQUATIONS
OSWAAL PUBLICATION|Exercise HOMOGENEOUS DIFFERENTIAL EQUATIONS (Long Answer Type Questions - II)|15 Videos
DIFFERENTIAL EQUATIONS
OSWAAL PUBLICATION|Exercise VARIABLE SEPARABLE METHOD (Short Answer Type Questions - II)|3 Videos
DETERMINANTS
OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos
II PUC (ANNUAL EXAMINATION 2019)
OSWAAL PUBLICATION|Exercise PART - E|4 Videos

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation (dy)/(dx) = 2xy^(2) given that y = 1, when x = 0.

Find the particular solution of the differential equations log ((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0.

Find a particular solution of the differential equation (x - y)(dx + dy) = dx - dy given that y = -1, when x = 0.(Hint : put x - y = t)

Find the general solution of the differential equation (x+y)(dy)/(dx)=1 .

Show that the differentia equation (xe^(y//x) + y) dx = x dy is homogeneous. Find the particular solution of this differential equation, given that x = 1 when y = 1.

Find the general solution of the differential equation ( x+y) (dy)/(dx)=1

Show that the differential equation [x sin^(2)((y)/(x)) - y]dx+x dy = 0 is homogeneous. Find the particular solution of this differential equation, given that y = (pi)/(4) when x = 1.

Find the particular solution of the differential equaiton (x-sin y)dy + (tan y)dx = 0 , given that y = 0 when x = 0.

The solution of the differential equation : (dy)/(dx)=x+y^2 is :

OSWAAL PUBLICATION-DIFFERENTIAL EQUATIONS-VARIABLE SEPARABLE METHOD (Long Answer Type Questions - II)

Find the general solution of the differential equations e^xtanydx+(1-...
Text Solution
|
If y(x) is a solution of the differential equation ((2+sinx)/(1+y))...
Text Solution
|
Find the particular solution of the differential equation e^xsqrt(1-y^...
Text Solution
|
Solve the following differential equation: \ cos e c\ xlogy(dy)/(dx)+\...
Text Solution
|
Find the particular solution of the differential equation (dy)/(dx)=...
Text Solution
|
Find the particular solution of the differential equation (dy)/(dx) = ...
Text Solution
|
Find the particular solution of the differential equation x(1+y^(2))dx...
Text Solution
|
Find the particular solution of the differential equation log(dy)/(...
Text Solution
|
Solve the differential equation (x^(2)-yx^(2))dy +(y^(2)+x^(2)y^(2))dx...
Text Solution
|
Find the particular solution of the following differential equation...
Text Solution
|
Find the particular solution of the following differential equaiton : ...
Text Solution
|
Find the particular solution of the differential equation xy(dy)/(d...
Text Solution
|
Find the particular solution of the differential equation : x(x^2 - 1)...
Text Solution
|
Solve the following differential equation: 3e^xtany\ dx+(2-e^x)sec^2y\...
Text Solution
|
Solve the following differential equation: e^xtany\ dx+(1-e^x)sec^2y...
Text Solution
|
Solve the following differential equation : (1+"y"^2)(1+log"x")"dx"+"...
Text Solution
|
Find the particular solution of the differential equation (1+e^(2x))dy...
Text Solution
|
Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...
Text Solution
|
Find the particular solution of the differential equation satisfyin...
Text Solution
|
Solve the following differential equation: (x^3+x^2+x+1)(dy)/(dx)=2x^2...
Text Solution
|