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

Which book is good for class xi-xii puc physics?
Modran ABC physics and basco publications
Ramu
A Clock strikes three ( at 3 AM ). And when it does so 3 seconds elapse. How long does it take the clock to strike seven ( at 7 AM )?
Between the three strikes there are 2 intervals, which are each 1.5 seconds long. To strike seven there are 6 intervals. So it will take total 6*1.5 = 9 seconds for seven strikes.
Prosenjit Mondal
0 0
View Comments8
If the physical size of a charge particle is very small, compared to the separation distance between them, it is called __________. (Zero charge, Point charge, Positive charge, Negative charge)
Point charge
Narendra Kumar
0 0
View Comments6
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is: A. 15 B. 16 C. 18 D. 25
16
Srikanth
1 1
View Comments7
If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to: A. 0 B. 2 C. 4 D. 6
45
Srikanth

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

Ask a Question

Related Lessons

L' HOPITAL rule in solving limit problems.
L'HOPITAL rule : Applicable to all limit problems wherein both numerator and denominator becomes either '0' or '∞' like 0/0 or ∞/∞ after substituting limiting value. As per this method,...

B.sudhakar

5 0
View Comments1
Partnership firm - Merits and Demerits
What are merits and demerits of a partnership firm? (2 videos)

Rajiv Vadera

0 0
View Comments0
Internet of Things, Social Media Becoming Part of E-Discovery Landscape
The days when e-discovery consisted of handing over copies of e-mails to address Freedom of Information Act (FOIA) requests, compliance regulations or other legal obligations are over. Now, it's just as...

Rajesh N V

3 0
View Comments1
Equation Of A Straight Line
The line equation passing through A (a, b) and B (c, d) is equal to = (x - a)(b - d) - (y - b)(a - c) = 0. For example: line equation passing through the points (1, 1)and (0, 0) is = (x - 1)(1 - 0)...

Vijaya Kumar Jayanthi

1 0
View Comments0
Superposition Principle Of Forces: Physics
Here I am going to explain superposition principle of forces with an heuristic approach. Let us do a simple experiment. See the above image. Suppose an object of heavy mass is pulled up by a person...
M

Muthumanimaran

0 0
View Comments0

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 Mumbai
Grade 12 Tuition in Chennai
Grade 12 Tuition in Kolkata
Grade 12 Tuition in Pune
Grade 12 Tuition in Jaipur
Grade 12 Tuition in Noida
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