Q 3. By applying Kirchhoff's voltage law to a series RL circuit we obtain the differential equation 1x 10-6 di + (3 x 10°) i = 10e' where i = i(t) is the current through the circuit. Given the initial dt condition i(0) = 0 determine an expression for the current i. du

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Q 3. By applying Kirchhoff's voltage law to a series RL circuit we obtain the differential equation
1x 10-в di
+ (3 x 10°) i = 10e' where i = i(t) is the current through the circuit. Given the initial
dt
condition i(0) = 0 determine an expression for the current i.
dy
Q 4. If tan æ sin æ is an integrating factor of the differential equation
dx
+ Py = Q then P =? )
Q 5. Determine the constant a of the differential equation such that the differential equation is exact and
hence solve it (22 + 3xy)dx + (ax² + 4y)dy = 0
Q 6. Find the orthogonal trajectories of the functiony = x + ce-, which is passing through (-2,0)
Q 7. Solve the non linear differential equation e"
+1) = e" [*
Transcribed Image Text:Q 3. By applying Kirchhoff's voltage law to a series RL circuit we obtain the differential equation 1x 10-в di + (3 x 10°) i = 10e' where i = i(t) is the current through the circuit. Given the initial dt condition i(0) = 0 determine an expression for the current i. dy Q 4. If tan æ sin æ is an integrating factor of the differential equation dx + Py = Q then P =? ) Q 5. Determine the constant a of the differential equation such that the differential equation is exact and hence solve it (22 + 3xy)dx + (ax² + 4y)dy = 0 Q 6. Find the orthogonal trajectories of the functiony = x + ce-, which is passing through (-2,0) Q 7. Solve the non linear differential equation e" +1) = e" [*
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