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Mathematics, 21.02.2020 23:49 robertabenavidesq
A first order linear equation in the form y′+p(x)y=f(x) can be solved by finding an integrating factor μ(x)=exp(∫p(x)dx) (1) Given the equation (x+2)2y′+5(x+2)y=16 find μ(x)= (2) Then an explicit general solution with arbitrary constant C can be written in the form (x+2)5y= +C. (3) Then solve the initial value problem with y(0)=4 y= .
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A first order linear equation in the form y′+p(x)y=f(x) can be solved by finding an integrating fact...
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