Is Wheatstone bridge balance equation valid if Capacitors are used in place of resistors ? ( C1/C2 =C3/C4)

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Q. An extended wheatstone bridge is as shown in the figure below. If

C_{1} = C_{2} = C_{3} = C_{4} = 10 μ F

and

C_{5} = C_{6} = C_{7} = C_{8} = 5 μ F

, then find the value of equivalent capacitance.

Q. The order of the differentiable equation associated with the primitive

y = C_{1} + C_{2} e^{x} + C_{3} e^{- 2 x + C_{4}}

where

C_{1}, C_{2}, C_{3}, C_{4}

are arbitrary constants, is

The order of the differential equation whose general
solution is

$y = C_{1} e^{x} + C_{2} e^{2 x} + C_{3} e^{3 x} + C_{4} e^{x + C_{5}}$ where $C_{1}, C_{2}, C_{3}, C_{4}, C_{5}$ are arbitrary
constant is-

The order of the differential equation whose general solution is given by $y = (c_{1} + c_{2}) cos (x + c_{3}) - c_{4} e^{x + c_{5}}$ , where $c_{1}, c_{2}, c_{3}, c_{4}, c_{5}$ are arbitrary constants, is

Q. The differential equation whose general solution is given by, y =

(c_{1} c o s (x + c_{2})) - (c_{3} e^{- x + c_{4}}) + (c_{5} s i n x)

, where

c_{1}, c_{2}, c_{3}, c_{4}, c_{5}

are arbitrary constants, is

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