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enot [183]
3 years ago
15

Find the general solution.. y'' + 4y' = sin3x

Mathematics
1 answer:
Inessa05 [86]3 years ago
4 0
The general solution of a differential equation of the form ay'' + by' + cy is given by Ae^mx + Be^nx; where m and n are the root of the quadratic equation ax^2 + bx + c
The general solution of <span>y'' + 4y' is given by </span><span>Ae^mx + Be^nx; where m and n are the root of the quadratic equation x^2 + 4x = 0
x(x + 4) = 0
x = 0 or x = -4

Therefore, the general solution is Ae^(-4x) + Be^0x = Ae^(</span>-4x) + B
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