11. Formulate and solve the 2nd order homogeneous differential equation for node voltage v(t). Given that the constant source current, resistor, capacitor and inductor are 10A, 12ohm, 6F and 64H, respectively. Use Laplace Transform to solve the differential having an initial condition, v'(0) = 1, v(0)=0.

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Where n=6

11. Formulate and solve the 2nd order homogeneous differential equation
for node voltage v(t). Given that the constant source current, resistor,
capacitor and inductor are 10A, 12ohm, 6F and 64H, respectively. Use
Laplace Transform to solve the differential having an initial condition, v'(0) =
1, v(0)=0.
i.
From V(s)
Find a, b and c
as +bs+c
ii. Find v(t) at t=0, t=10 and t=n. Where n is the value from your
srcode.
i. Upload your answer (formula) to v(t)
Example. v(t) = 2e
* cos(5t)
iv.
Which of the terms are included for v(t)
а. Е^at
b. Cosbt
c. Sinbt
d. Sinhbt
Transcribed Image Text:11. Formulate and solve the 2nd order homogeneous differential equation for node voltage v(t). Given that the constant source current, resistor, capacitor and inductor are 10A, 12ohm, 6F and 64H, respectively. Use Laplace Transform to solve the differential having an initial condition, v'(0) = 1, v(0)=0. i. From V(s) Find a, b and c as +bs+c ii. Find v(t) at t=0, t=10 and t=n. Where n is the value from your srcode. i. Upload your answer (formula) to v(t) Example. v(t) = 2e * cos(5t) iv. Which of the terms are included for v(t) а. Е^at b. Cosbt c. Sinbt d. Sinhbt
Item 11
Your answer
This is a required question
b*
Your answer
Your answer
v(t) at t=0*
Your answer
v(t) at t=10 *
Your answer
v(t) at t=n, Where nis the value from your srcode.
Your answer
Upload your answer (formula) to v(t) *
1 Add file
Which of the terms are included for v(t)*
E'at
Cosbt
Sinbt
Sinhbt
Transcribed Image Text:Item 11 Your answer This is a required question b* Your answer Your answer v(t) at t=0* Your answer v(t) at t=10 * Your answer v(t) at t=n, Where nis the value from your srcode. Your answer Upload your answer (formula) to v(t) * 1 Add file Which of the terms are included for v(t)* E'at Cosbt Sinbt Sinhbt
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