Home
Class 12
MATHS
For each of the differential equations ...

For each of the differential equations given below, indicate its order and degree (if defined).(i) `(d^2y)/(dx^2)+5x((dy)/(dx))^2-6x y=logx` (ii) `((dy)/(dx))^3-4((dy)/(dx))^2+7y=sinx`(iii) `(d^4y)/(dx^4)-sin((d^3y)/(dx^3))=0`

Text Solution

AI Generated Solution

To determine the order and degree of the given differential equations, we will analyze each equation step by step. ### (i) \( \frac{d^2y}{dx^2} + 5x\left(\frac{dy}{dx}\right)^2 - 6xy = \log x \) 1. **Identify the highest order derivative**: - The highest derivative in this equation is \( \frac{d^2y}{dx^2} \), which is a second derivative. 2. **Determine the order**: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Write the order and degree of x((d^(2)y)/(dx^(2)))+((dy)/(dx))^(3)+y^(2)=0

Find the order and degree (if defined) of the equation: (d^(2)y)/(dx^(2))={1+((dy)/(dx))^(4)}^((5)/(3))

Find the order and degree of (d^3y)/dx^3+2((d^2y)/dx^2)^2-(dy)/(dx)+y=0

Find order & degree ((dy)/(dx))^(4)+(d^(3)y)/(dx^(3))=3yx(dy)/(dx)

find order and degree ((d^(2)y)/(dx^(2)))+((dy)/(dx))^(3)+y^(4)=0

Write order and degree (if defined) of each of the following differential equations. ((dy)/(dx))^(3)-4((dy)/(dx))^(2)+7y=sinx

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x

Find degree and order x(d^(2)y)/(dx^(2))+((dy)/(dx))^(5)-y(dy)/(dx)=3

The degree of the differential equation (d^3y)/(dx^3)+x((dy)/(dx))^4 = 4 log ((d^4y)/(dx^4)) is

Find the order and degree of the differential equation . (d^(2)y)/(dx)^(2)+x((dy)/(dx))^(3)-1=0