Answer

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

Updated On: 20-4-2021

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

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

300+

18

Text Solution

`y = x^(2) + c``y = (1)/(2) In (x) + c, x gt 0``y = (x)/(2) + c``y = (x^(2))/(2) + c`

Answer :

A::BSolution :

`rArr" "((dy)/(dx))^(2)-3(x+(1)/(4x))(dy)/(dx)+1 = 0` <br> `rArr" "((dy)/(dx)-2x)((dy)/(dx)-(1)/(2x))=0` <br> `therefore" "dy = 2x dx or dy=(1)/(2x)dx` <br> `rArr" "y=x^(2)+ c or y = (1)/(2)"In x"+c, x gt 0`.**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**