KCL and KVL with Laplace incorrect result

For t > 0 find v0(t)

Using nodal analysis I was found v1 and v2, take difference and find correct result

But I can’t make same with direct KCL, KVL approach

May anyone help with that?

• That was fixed but result still incorrect Dec 29, 2016 at 9:00
• Is $8(e^{-t}-e^{-6t})$ incorrect?
– Chu
Dec 29, 2016 at 9:09
• That is correct! But my in MathCAD "v0(s) invlaplace -> ..." is not equal to your calculations, but why? Dec 29, 2016 at 9:14
Your equation for $V_o(s)$ may be factorised to: $$\frac{40}{(s+1)(s+6)}=\frac{8}{s+1}-\frac{8}{s+6}$$
Giving: $$v_o(t)=8(e^{-t}-e^{-6t})$$