Equation 1: η1 = ηM2   sin(ωM2t). Equation 2: (dη2)/dt =- ((AcUc) /A2) Equation 3: dUc / dt = g (η2 - η1)/LC From the three above equation it is possible to make an second order differential equation for UC on the form U''C = + aUc = f(t)  Show that it is possible to make the equation and determine a and f(t) in the above equation

Q: Determine the type of Differential Equation, then find the solution for it.

A:

Q: y'(l+Lny)+yLnyGSX = Sin2x

A: Rewrite the equation:cos(x) log(y(x)) y(x) - sin(2 x) + (log(y(x)) + 1) ( dy(x))/( dx) = 0Let R(x,…

Q: iCN Bf the following represents its different (a) = sin x (b) dx dy (c) =y- =ーツ (d) dr dy =x +y (e)…

A: Consider the curve in (a) dydx=sinx. In first quadrant, x>0,y>0. dydx=sinx>0 Therefore the…

Q: Determine the value of k that will make the equation exact and solve the resulting differential…

A: Solution :-

Q: Determine whether the differential equation (3x+5) + (3y — 3)y' = 0 is exact. If it is exact, find…

A:

Q: verify that the function. solution to the differential and find the y=c₁e-x + C₂ e 2x is a equation:…

A: Topic = Differential equation

Q: (e"siny + tany)dx + (e*cosy + xsec*y)dy = 0

A:

Q: solve the differential equation: (3y ′′ + y ′ − 14) = 24e^16 − 48 (Explain the summary of steps…

A:

Q: Given, G+) dæ + (41) dy = 0 is an exact differential equation. Determine the value of A.

A:

Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

A:

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

A:

Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

A:

Q: (cos y+ y.cosx-ec*.sin x)dx+(sin x – xsin y)dy =0 cos.x

A:

Q: Find the general solution of the differential equation: y' – 2y = 3 sin(4t) Use Uppercase C for the…

A:

Q: Find the general solution to the differential equation y' +2ry = xe- sin r

A: Linear differential equation

Q: Consider the differential equation for y (- 5ӕ — у)da + xdy — 0. ON 1. Express the equation into the…

A:

Q: product rule to 3. Use the substitution uy to solve the differential equation xy' + 5y = 3ay

A:

Q: Consider the differential equation dz sin(x). dt What type of equilibrium is æ = 7?? Try to draw a…

A:

Q: differential equation is given. Classify it as an ordinary differential equation (ODE) or a partial…

A:

Q: Q1:- Solve the following DEs:- xy2-cos x sin x 1) y' = y(1-x²)

A: The most general form of a linear differential equation of first order is dydx+Py=Q where P and Q…

Q: Solve for the function y that satisfies ty' = 2y + 4t³ cos(4t) = 0 {

A:

Q: The solution to the differential equation: [y² (x + sin²5x) - 3y|dx + (yx² − 3x + 2xy −5+ 6yysin10x)…

A: The given differential equation is , y2x+12sin25x-3ydx+yx2-3x+12xy-5+6y-120ysin10xdy=0 (.)  A…