Steady State Sinusoidal using Nodal Analysis

[Joshb60796]

Homework Statement

[/B]
The photo included provides the problem but the professor stated that the right side source is supposed to be 100t and not 80t. The problem wasn't printed correctly in the book so I assume the solution wasn't either. The solution via the book is v1=2.56cos(100t+139.2°), v2=4.35cos(100t+138.3°)

Homework Equations

Rectangular to Polar Notation
Polar to Rectangular Notation
Ohms Law
Nodal Analysis
Kirchhoff's Current Law

The Attempt at a Solution

I used Nodal Analysis
v1: ((v1)/1∠90°)+((v1)/2)+(((v1)-(v2))/4.55∠-90°)+(((v1)-(v2))/3) - (3∠62°)=0
v2: 2+((v2)/(2.13∠-90°))+((v2)/5)+(((v2)-(v1))/4.55∠-90°)+(((v1)-(v2))/3)=0
plugging that into the calculator and solving gives
v1=2.84∠131.12°
v2=3.56∠122.15°
Which is NOT the book solution. Please tell me if I did this correctly.

 

[axmls]

Your equations look correct, so just double check the values you obtained from the calculator.

 

[gneill]

I can confirm that the values look good, too.

I suppose that the problem may have been modified a bit at some point and the answer key not updated.

 

[fisa_ghores]

Excuse me this question is from which country?

 

[Joshb60796]

I am from the US. This question is from Engineering Circuit Analysis 8th Edition, by William H. Hayt Jr.