Help me solve this differential equation!
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Help me solve this differential equation!

[From: ] [author: ] [Date: 11-12-20] [Hit: ]
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1.y''+6y'=8
2.y'+ytgx=(cosx)^2

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2.) y' + (tan(x))*y = cos²(x)

Integrating factor = e^(∫tan(x) dx) = sec(x)

Multiplying both sides by integrating factor:

y'*sec(x) + (sec(x)*tan(x))*y = cos(x)

d/dx[y*sec(x)] = cos(x)

y*sec(x) = sin(x) + C

y = cos(x)*(sin(x) + C)

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1)
y[x] = (4 x)/3 - 1/6 e^(-6 x) C[1] + C[2]
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