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I am trying to find Vo but I am not sure If this solution right? Is there a shorter path to find Vo?

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solution

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    \$\begingroup\$ This is the standard format, but I would like to suggest an alternate formulation. It's from an offshoot in mathematics, but I found that it is actually simplifies things and makes fewer errors. The technique is to make all equations =0 ; v1=v2-v3 becomes v1-v2-v3=0. 1) There are powerful tools for this form 2) Having things on the right and left leads minds (at least US minds) to think; that, for v1=v2-v3, v2-v3 is "causing" v1 or for E=I*R one is lead to I is "causing" E. This is untrue is most cases, sources and sinks excepted. What is typical is that there is a relationship. \$\endgroup\$
    – rrogers
    May 18 at 1:09

1 Answer 1

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I think I found what is going wrong (I wish to be the only mistake) I made a mistake in multiplication in the second line of the third photo it is not : $$ s^{2}*V2 $$ but $$ s^{3}*V2 $$

so

$$ V2 = \frac{-605 + 7.5\ast s + s^{2}}{-12.5\ast s-3\ast s^{3}} $$

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