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Tribhuvan university CSIT 2074 Syllabus Mathematics I (Calculus) Old Questions 2074

Mathematics I (Calculus) - Old Questions

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Syllabus Notes Old Questions Unit Wise Questions Question Bank

11. Find the solution of y" + 6y′ + 9 = 0, y(0) = 2, y(0) = 1.

5 marks
Asked in 2074

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Official Answer

Given

The characteristics equation of given differential equation is

Here the roots are real and equal.

The general solution is

Now, applying the condition y(0)=2

Again, 

Then, 

Applying the condition y’(0)=1

The particular solution of the given equation is