Q4.A.i. A L-Rseries circuit is built with inductance 30 H and resistance 1502 and connects to a electric supply V of 300 volts. According to Kirchhoff's law for L-Rseries circuit , the di governing differential equation is given by L+ Ri = V. Determine the flow of current in the dt circuit after 10 seconds.

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Q4.A.i. A L- Rseries circuit is built with inductance 30 H and resistance 1502 and connects to a
electric supply V of 300 volts. According to Kirchhoff's law for L-Rseries circuit , the
di
+ Ri = V. Determine the flow of current in the
dt
governing differential equation is given by L
circuit after 10 seconds.
dx
-- y = t
dt
ii. Solve the simultaneous differential equation
dy
+x = 1
dt
Transcribed Image Text:Q4.A.i. A L- Rseries circuit is built with inductance 30 H and resistance 1502 and connects to a electric supply V of 300 volts. According to Kirchhoff's law for L-Rseries circuit , the di + Ri = V. Determine the flow of current in the dt governing differential equation is given by L circuit after 10 seconds. dx -- y = t dt ii. Solve the simultaneous differential equation dy +x = 1 dt
B.i. Solve the partial differential equation
by method of separation of variables.
ii.Classify the partial differential equation
In(2x* + 41).
10
iii. Find the orthogonal trajectories for the family of parabolas y = cx.
Transcribed Image Text:B.i. Solve the partial differential equation by method of separation of variables. ii.Classify the partial differential equation In(2x* + 41). 10 iii. Find the orthogonal trajectories for the family of parabolas y = cx.
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