Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 19-9-2020

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

74.2 K+

3.7 K+

Text Solution

`(x)/(x^(x)``(e^(x))/(x)``xe^(x)``e^(x)`

Answer :

BSolution :

Given that, `" "(dy)/(dx)+y=(1+y)/(x)` <br> `rArr" "(dy)/(dx)=(1+y)/(x)-y` <br> `rArr" "(dy)/(dx)=(1+y-xy)/(x)` <br> `rArr" "(dy)/(dx)=(1)/(x)+(y(1-x))/(x)` <br> `rArr" "(dy)/(dx)-((1-x)/(x))y=(1)/(x)` <br> Here, `" "P=(-(1-x))/(x),Q=(1)/(x)` <br> `" "IF=e^(intPdx)=e^(-int(1-x)/(x)dx)=e^(int(x-1)/(x)dx)` <br> `" "=e^(int(1-(1)/(x))dx` <br> `" "e^(intx-logx)` <br> `" "=e^(x)*e^(log((1)/(x)))` <br> `" "=e^(x)*(1)/(x)`**What is differential equation and order and degree of a differential equation**

**Linear and nonlinear differential equation**

**General form of 1st order and 1st degree differential equation; geometrical interpretation and the solution**

**Solve: `dy / dx = sin^3x cos^2x + x e^x`**

**Differential Equations of the type `dy / dx = f(y)`**

**Solve: `dy / dx = sin^2y`**

**Formation Of Differential Equations**

**Form the differential equation of the family of curves represented `c(y + c)^2 = x^3`, where c is a parameter.**

**Find the differential equation that represents the family of all parabolas having their axis of symmetry with the x-axis.**

**Solution; general solution and particular solution**