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

Asked by Last Modified  

9 Answers

Learn Class XI-XII Tuition (PUC)

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 are the differences between anode and cathode?
Anode and cathode are two terms that are often used interchangeably with positive and negative in batteries. The anode, by definition, is the electrode where electricity flows into. In contrast, the cathode...
S.meenakshi
0 0
8
Matter is composed of three fundamental particles. They are __________. (a. Electrons, Protons, Neutrons b. Electrons, Cathode rays, masons c. Electrons, neutrons, masons)
Electrons, Protons, Neutrons
Narendra Kumar
0 0
7
How one can give cash payment to UrbanPro for collecting UrbanPro coins
You can pay them through bank A/c and they will credit it to your account manually.
Abdhesh
Give the IUPAC Name of Benzene ?
Cyclohexa-1,3,5-triene
Kumar Upendra Akshay
Why stock is excluded from liquid assets?
Stock is excluded from liquid assets because in calculation of liquid ration only those assets are considered which can be readily converted into cash within a period of 90 days. Stock cannot all the time be converted into cash immediately.
Ajay
0 0
5

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

Ask a Question

Related Lessons

Solution to a trigonometric problem requested by one student
∫ sin² x /( 1+ cos x ) dx Let's multiply both numerator and denominator by ( 1 - cos x ) = ∫ sin² x • ( 1 - cos x ) / ( 1 + cos x ) • ( 1 - cos x ) dx = ∫ sin²...

B.sudhakar

4 0
0
Divisibility rule
Every no. Is divisible by 1. Every even no. Is divisible by 2. If the sum of digit of a no. Is divisible by 3 then the no. Is also divisible by 3. If the last two digit is divisible by 4 then that no....
M

Mohit S.

1 0
0
Be a learner
Hi students, To be a good learner we should read the books and other guides with care. As mind only accepts visulation and intellectual learning concept which we observe. So when reading be attentive....

Dr. Lokesh Sehgal

1 0
0
Rational Numbers
A number of the form p/q where q not equals to zero is called a rational numbers. P may be zero or may not. P and q are positive /negative integers. It denotes the part of a quantity...
M

Mohit S.

1 0
0
Account Used To Record The Premium When Issuing Common Stock
The premium on issuing common stock is rarely recorded in an account having that name. It is more commonly recorded in an account called Paid-In Capital In Excess of Par Value. It may also be recorded...
K

Khushboo B.

1 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 Gurgaon
Grade 12 Tuition in Lucknow
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