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Differential Equations
An LRC series circuit has L = 20 henries, R = 180 ohms, C = 1/280 farad, and an applied voltage E(t) = 10 sin t. Assuming no initial charge on the capacitor, but an initial current of 1 Ampere at t = 0 when the voltage is first applied, find the steady-state charge q(t) on the capacitor and the steady-state circuit current i(t).
Differential Equations
(4𝑥𝑦 + 3𝑦2 )𝑑𝑥 + 𝑥(𝑥 + 2𝑦)𝑑𝑦 = 0
Differential Equations
yp^2+x^3p-x^2y=0
Differential Equations
Solve the following initial value problem (IVP);
(a) dy = 9.8 − 0.196y, y(0) = 48 by using the method of integrating factors.
Differential Equations
solve x^2 d^2/dx^2+xdy/dx+y=sin(logx^2)
Differential Equations
The canonical form of the PDE (1 + x2)uxx + (1 + y2)uyy + xux + yuy = 0 is given by
Differential Equations
How to find uniqueness of solution using characteristics curve and initial condition
Differential Equations
Find the solution to 2cos(x)y'(x)=2cos^2(x)-sin^2(x)+y^2 if y(x)=sin x denotes a particular solution
Differential Equations
Use homogeneous techniques to solve 2x^2y'(x)=xy+y^2(x)
Differential Equations
(2x+3)dy/dx -y+(2x+3)
