Question

Help please.

Answer 1

Differential Equations.
\[\frac{ dy }{ dx } = \frac{ x }{ y }, y(0) = -1\]
\[\int\limits y dy = \int\limits x dx \rightarrow \left[ \frac{ y^2 }{ 2 } \right] = \left[ \frac{ x^2 }{ 2 } \right]+C\]
Plug in (0, -1)

\[\frac{ 1 }{ 2 } = C\]

Thus the answer is \[\frac{ y^2 }{ 2 } = \frac{ x^2 }{ 2 } +\frac{ 1 }{ 2 }\]

But It is telling me that this answer is wrong.

Answer 2

Could someone please check my work?

Answer 3

Does this mean I have to solve for an implicit particular solution?

Answer 4

no

Answer 5

yeh theres nothing wrong

Answer 6

oh the pic says solve for y

Answer 7

y=-sqrt(x^2+1)??

Answer 8

Yes, Thank you.