Solve Circuit Equation | Get Help Now

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Hello
I have a circuit (attached).
I need its mathematical equation.
can anybody solve this?
or suggest where should i post such thread so i can get some help.

Thanks in advance
 

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Well, I would like to know what you mean by "the equation for a circuit". Equations involve numbers and are about numbers. It is possible that you mean a system of equations satisfied by the current (in Amperes) in each part of the circuit or a system of equations satisfied by the voltage drop in each part of the circuit, but I don't know what you mean by "the equation of a circuit".
 
I mean mathematic (differential) equation. As at the scope end we will get some sort of data (array points), which we can plot on graph or see on scope.
What would be the equation of the circuit, so that i get the same array.
i.e for time : 0 to 10ms that array has some points like(.1,.2,.3 etc).
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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