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Differential Equations - Order and Degree (in Hindi)
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This lesson explains the concept of differential equations and order and degree of differential equations

## Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 3 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

Unacademy user
helo, mam i atempt bank exams but in english section im very weak ,in maths i do formula or tecnique but in english i dont know what have to put iam very nervous and feeling bad plzzz help me
sir or video add kijiye
Vineet Loomba
9 days ago
Aur kaunse topic pe ?
sir, great work and nyc teachimg concept. I only prefer you over any other maths teacher on this platform..
Vineet Loomba
2 months ago
Thanks Kushagra
thank you very much sir
sir im a little unsure of 2nd self practice problem can you please help , is it ok if the dependent variables r different as long as the independent variables r same? (v took order for t)
Vineet Loomba
4 months ago
no actually it is a typing error ..it is y and not t
Ramita
4 months ago
thank you sir
sir,I have a doubt on degree of question no-3..and sir thanks alot for this course..
Vineet Loomba
5 months ago
What is ur doubt ? Wht do you think degree should be
Srishti jha
5 months ago
sir order is 2 so degree should be 1
Vineet Loomba
5 months ago
do you think degree is half of order ??
Vineet Loomba
5 months ago
watch the video 2-3 times ... degree is not defined ..it is defined only when differentials are in polynomials
Srishti jha
5 months ago
sir I didn't solve this question properly but after I have watched your lesson again my all doubts are cleared and thankyou so much sir for your guidance and for these best lessons..
Srishti jha
5 months ago
sir I didn't solve this question properly but after I have watched your lesson again my all doubts are cleared and thankyou so much sir for your guidance and for these best lessons..
Vineet Loomba
5 months ago
Wlcm ..Happy to help
1. DIFFERENTIAL EqUATIONS (DETAILED COURSE) JEE MAIN AND ADVANCED IIT-IEE MATHS MADE EASY PREPARED BY: ER. VINEET LOOMBA IITiAN | IIT-JEE MENTOR FoR SURE SHoT SUcCESS IN JEE MAIN AND ADVANCED (IIT-JEE)

2. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B.Tech. From IIT Roorkee -\$ IIT-JEE Mentor Since 2010. -^ Doubts/Feedback in Comment Section * Comment other topics you want to revise. * Follow me @ https://unacademy.com/user/vineetloomba to get unacademy updates or search me on Google * Share among your peers as SHARING is CARING!!

3. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Other Detailed Courses Made so far on Unacademv: V Strategy for JEE Main and Advanced V Sets, Relations and Functions V Trigonometry V Applications of Derivatives Limits, Continuity. Differentiability V Indefinite Integration V Definite Integration V Complex Number V Logarithmic Functions V Sequences Series V Most Important Questions in IIT-JEE Permutations Combinations V Binomial Theorem V Straight Lines V Applications of Integrals V Circles (Detailed Course) V Probability MathematicS V Parabola (Detailed Course) v Inverse Trigonometry V Mathematical Reasoning V Ellipse (Detailed Course) V Hyperbola Upcoming Courses next month: Coordinate Geometry > Differential Equations Differential Equations MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)

4. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (11T-JEE) Differential Equation: An equation involving independent and dependent variables and the derivatives of the dependent variables is called a differential equation. There are two kinds of differential equation MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

5. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ordinary Differential Equation If the dependent variables depend on one independent variable x, then the differential equation is said to be ordinary dy dz for example + Xy sin X , dx 3/2 2 2 dx dx MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)

6. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (11T-JEE) Partial differential equation If the dependent variables depend on two or more independent variables, then it is known as partial differential equation 2 for example y2_+y--ax,-+--0 2 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

7. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Order: Order is the highest differential appearing in a differential equation. Degree : It is determined by the degree of the highest order derivative present in it after the differential equation is cleared of radicals and fractions so far as the derivatives are con- cerned 2 dmy f,(x, y) dX The above differential equation has the order m and degree n- MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)

8. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (11T-JEE) Example: 2 6 71/4 dy ( dx 4 d-y dx dy dx :. order 2, degree4 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

9. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (11T-JEE) Example: dx dx" y- 2 dx dx . order 2, degree 1 2 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

10. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (11T-JEE) Example: dy dy Sin dx dx2 day 2 + dy = sin-1 y dx2 dx order 2, degree -1 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

11. FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Self Practice Problems: Find order and degree of the following differential equations. Ans. order 1, degree 2 ja. dy dy dx d = (n ( + 11 y5Ans. order 5, degree not applicable order dx5 1/2 Ans" order = 2, degree = 2 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)