3. Consider the DE: y"(t) – 8y (t) + 16 y (t) = 0, te R. (a) Verify that the functions y(t) = cet +d tet form a family of solutions.. (b) Determine the member of the family which satisfies the initial conditions y(0) = 0 and y' (0) = 1. %3D 4 Solu the follouin DE

Q: ena is a solution of y" + y' – 56y = 0 Find two values of n such that y =

A: y=enx is a solution of the equation y’’+y’-56y=0. So, it must satisfy the equation.

Q: Hw.1. Solve the integral equation g(s) = f(s) + a S,(s + t) g(t)dt

A:

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

A: Intermediate value theorem For a continuous function y = f(x) in the interval [a, b] such that…

Q: Find P when t = In 2. dp. Find t when = 4. dt Give your answer in exact form. Find

A: Topic:- calculus and integration

Q: Which of the following functions are solutions of the DE y-4ry 0? (a) y 5z2 (b) y= e2 (c) y=3e1 (d)…

A: The given differential equation is Compare the above DE by general form of linear DE such that

Q: Consider diffusion and reaction in a layer of soil. The problem is governed by the following…

A: We are given the following equation and boundary conditions.            D∂2C∂z2=kCC=C0,   z=0C=0 or…

Q: Find the general solution of ty" + 3ty' +1.25y = 0.

A: The given differential equation is…

Q: Zad. 1. Check if the function y is the solution to the given equation: a) y(t) =In(t+2), y' = e¯ in…

A: We have to check, whether the function y(t)=ln(t+2) is a solution to the given equation y'=e-y in…

Q: Qs: The ends for an insulated rod PQ are maintained at 0°C. At time t=0 the temperature within the…

A:

Q: Solve the following differential equation: + 2y +v -

A: We have to find the solution of the differential equation…

Q: 3- Finl Gmeral Salafien t

A: This is the question from the exact forms of differential equations. For detailed solution, visit…

Q: F. If F = CC) + 32 then 65 °C = %3D %3D

A: We have to find the °F

Q: 3. (4.2 #3) Find the general solution. y" + 8y + 7y=0

A: The given equation is; y''+8y'+7y=0

Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

A:

Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5) - jsin(5)] T = VM² –1 200,000,000ej0.241 H = ЗЕ…

A: Given that E=115,000ej0, M=cosh0.05+j0.5, A=400cos5-jsin5T=M2-1 and H=200,000,000ej0.2413E We have…

Q: Solve the following ODE by Ralston’s method y'(1) = y-+P, 1<t<2, y(1)=2, h=0.5.

A: Consider the given equation and interval values. y't=y-y2t+t3,     1&lt;t&lt;2 and, y1=2, h=0.5…

Q: .1 Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

A:

Q: Solve for y(t) where y(t) + 2 / a – u)y[w)du = t.

A:

Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

A:

Q: R Solve the following 2 order ODE using me method of variation of parameters. y"-4y' + 4 y (12 x2 -…

A:

Q: Solve y" – 4y' + 6y = 8(t – 3), y(0) = 0, y'(0) = 0. -

A: Use Laplace table.