solving differential equations

Apr 2010
5
0
Please help me..


dy + 7x dx = 0

Given y(0)=3
 
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dwsmith

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Mar 2010
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Florida
Please help me..


dy + 7x dx = 0

assume dy(0)=3
Separable equation.

dy(0)=3 or y(0)=3?

\(\displaystyle dy=-7xdx\rightarrow\int dy=-7\int xdx\rightarrow y=\frac{-7x^2}{2}+C_1\)

If you mean y(0)=3, then C=3.

\(\displaystyle y=\frac{-7x^2}{2}+3\)
 
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Apr 2010
5
0
Ops! you are correct.

given y(0) = 3. this is correct..

sorry for my mistake.