write solution of x''+9x = sin(2t) x(0)=0 and x'(0)=1 as the sum of two oscillations
write solution of x''+9x = sin(2t) x(0)=0 and x'(0)=1 as the sum of two oscillations
Homework Answers
The complementary solution is
x = Asin(3t) + B cos(3t) or C*sin(3t + φ)
The particular integral would be of the form
x = a*sin(2t)
x" = -4a*sin(2t)
x" + 9x = 5a*sin(2t)
a = 1/5
Final solution:
x = C*sin(3t + φ) + (1/5) * sin(2t)
First oscillation is C*sin(3t + φ)
second is (1/5) * sin(2t)
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write solution of x''+9x = sin(2t) x(0)=0 and x'(0)=1 as the sum
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