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Consider the ordinary differential equation 
Given the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ______
Given the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ______Correct answer is '6'. Can you explain this answer?
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Consider the ordinary differential equationGiven the values of y(1) = ...
y(1) = 0 & y(2) = 2
Putting this into ordinary differential equation
D(D – 1)y – 2Dy + 2y = 0
[D2 – 3D + 2] = 0
Auxillary equation is
m2 – 3m + 2 = 0
(m – 1) (m – 2) = 0
i.e. m = 1 & m = 2
∴ solution of equation
y = c1et + c2e2t
⇒ Putting et as x
⇒ y = c1x + c2X2
⇒ y(1)= 0
⇒ c1 + c2 = 0 ...(i)
& y(2) = 2
⇒ 2c1 + 4c2 = 2
⇒ c1 + 2c2 = 1 …(ii) (ii) – (i)
⇒ c2 = 1
c1 = –1
⇒ y = –x + x2
Then y(3) = –3 + 32 = 6
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Consider the ordinary differential equationGiven the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ______Correct answer is '6'. Can you explain this answer?
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Consider the ordinary differential equationGiven the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ______Correct answer is '6'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider the ordinary differential equationGiven the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ______Correct answer is '6'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the ordinary differential equationGiven the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ______Correct answer is '6'. Can you explain this answer?.
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