Mathematics, 13.07.2019 21:10 ginger87771
Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular solution requested (label the gen. sol. and particular write both solutions in explicit form (solved for y). x dy/dx = x^3 + 2y subject to: y(2) = 6
Answers: 1
and the particular solution is 
..................(i)
![e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}](/tpl/images/0086/1647/c6dc4.png)
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Solve the following initial-value problem, showing all work, including a clear general solution as w...
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