Solve: (D^2-2D+2)Y=Sin2x+5

Asked by Last Modified  

9 Answers

Follow 2
Answer

Please enter your answer

(D^2-3DD' 2D'^2)Z=SINX COSX
Comments
Dislike Bookmark

Mathematics for JEE Mains/Advanced, XI & XII (All Boards)

Though this is not a XII class question. Let me try to explain you. The solution will have Complementary function as well as Particular Integral. (D-1)^2 has repeating roots CF will be (cx+d)e^x and PI can be calculated using standard rules where D^2 will be replaced by -4
Comments
Dislike Bookmark

y=e^x(c1cosx + c2sinx) + 1/10(2cos2x - sin2x) - 5/2
Comments
Dislike Bookmark

y= e^x(c1 cosx+c2 sinx) + 1/10 (2cos2x -sin2x ) - 5/2
Comments
Dislike Bookmark

doing be at jadavpur university

GO THROUGH LAPLACE TRANSFORM............. THEN (S^2-2S+2)(Y(S))=2/(4+S^2)+5/S NOW DOING PARTIAL FRACTION Y(S)=(1/3)(S/(4+S^2))+(1/6)(2/(4+S^2))-(17/6)((S-1)/((S-1)^2+1)+5/(2S)+(5/2)*(1/(S-1)^2+1)) NOW DO INV LAPLACE TRANSFORM Y=(1/3)COS(2X)+(1/6)SIN(2X)+5/2+(EXP(X))(5/2(SIN X)+(17/6)COS X)
Comments
Dislike Bookmark

Experimental Physicist

Solution: y: Exp(x)(c1 cosx+c2sinx)+ cos2x/5-sin2x/10+5/2
Comments
Dislike Bookmark

Best Mathematics Tutor in Bhubaneswar

Y=(Sin2X+5)/(D^2-2D+2)
Comments
Dislike Bookmark

Tutor

The solution has two parts viz general solution yh(x) of associated homogenous equation and particular solution yp(x). y(x) = yh(x) + yp (x) . Solving for yh(x): Writing the characteristic equation for the above differnetial equation . m^2-2m+2 =0 . m = -1+i and -1-i. The solution is...
read more
The solution has two parts viz general solution yh(x) of associated homogenous equation and particular solution yp(x). y(x) = yh(x) + yp (x) . Solving for yh(x): Writing the characteristic equation for the above differnetial equation . m^2-2m+2 =0 . m = -1+i and -1-i. The solution is yh(x) = e^-x(Acosx+B sinX). Solving for yp(x). yp(x) = 1/(D^2-2D+2) * [sin2x+5] =1/(D^2-2D+2) [sin2x] + 1/(D^2-2D+2) [5] =-1/2D [sin2x] + 5/2 =cos2x/4 + 5/2 There fore the complete solution is yh(x) + yp(x) = e^-x[Acosx+Bsinx] + cos2x/4 +5/2 read less
Comments
Dislike Bookmark

Home tution for maths and science ( class 8 to 12 ) CBSE ,ICSE Bords only

We have ? = 2 as a root of multiplicity 1, so it contributes the basic solution e2x. ... B. (D ? 1)(D ? 2)(D2 ? 4D + 13)2y = 0. Answer: .... E. (D2 ? 3D + 2)y = x2 sin(2x). ... 6. 25 x ?. 227. 2000. ) + cos (2 x). ( 3. 20 x2 +. 7. 100 x ?. 189. 2000. )]
Comments
Dislike Bookmark

View 7 more Answers

Related Questions

What is the full form of NET ,Phd and D.Sc ?
NET: It stands for National Eligibility Test. It is sometimes called UGC-NET and NTA UGC NET. It is a test conducted to determine the eligibility for assistant professors in universities and colleges...
Rashid Khan
Discuss the salient features of viruses.
(a) They are smaller than bacteria. (b) They can be filterable. (c) May cause infection and diseases like small pox, flu etc. (d) Able to reproduce in host cells. (e) Use enzymes and metabolic machinery...
Jitendra
0 0
6
what is the formula of acceleration?
Formula for acceleration: final velocity minus initial velocity over time. a = ?v/?t = (vfinal - vinitial) / (tfinal - tinitial) in words, acceleration equals the difference of the final velocity...
Anjali
The device which can maintain a potential difference between two points to which they are attached are known as __________. (Dry cell, sources of power, sources of electromotive force, sources of heat dissipated)
Dry cell, which is a source of emf
Narendra Kumar
0 0
8
What are the 3 Types of networks..?
They are as follows : LAN (local area network), MAN (metropolitan area network) and WAN (wide area network).
RAJESH N.
1 0
7

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Protein
Proteins are organic molecules consisting of many amino acids bonded together. Amino Acids: Monomers or building blocks of all proteins. Parts of the Amino Acid: a) Amino group (NH2) b) Carboxyl...

Bhakti M.

0 0
0
Learning tips
Tips: Focus on the mastery. Take charge of your learning. Build your competence and gain confidence. Think critically about what you're learning. Use grades to keep on track with learning. Effective...

S. Lohitha

0 0
0
Some formulas of algebra
Algebra: 1. (a + b) = a + 2ab + b 2. (a – b) = a – 2ab + b 3. (a + b) (a – b) = a – b 4. (x + a)(x + b) = x + (a + b)x + ab 5. (x + a)(x – b) = x + (a – b)x –...

Kanchan

2 0
0
Shastri mastara matthavara makkalu - Shabdhartha

Sandhya

0 0
0
For Class 12 Chemistry - Enzyme B12.
The B12 or cobalamin coenzymes are complex macrocycles whose reactivity is associated with a unique cobalt-carbon bond. The two biologically active forms are MeCbl and AdoCbl and their closely related...

Nidhi T.

0 0
0

Recommended Articles

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Find Grade 12 Tuition near you
Grade 12 Tuition in Delhi
Grade 12 Tuition in Bangalore
Grade 12 Tuition in Hyderabad
Grade 12 Tuition in Chennai
Grade 12 Tuition in Kolkata
Grade 12 Tuition in Mumbai
Grade 12 Tuition in Pune
Grade 12 Tuition in Noida
Grade 12 Tuition in Lucknow
Grade 12 Tuition in Gurgaon
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you