The temperature for a small town can be modeled by the equation T (t) = 35 cos (t – 220) + 60 , where T is the 365 temperature in degrees fahrenheit and t is the day of the year. On which day of the year does the temperature attains its maximum?

Q: After getting a job, Kessy started saving a percentage of her annual income, which can be modeled by…

A:

Q: F(s) = .L{cos 2t H(t-) + (912+2t-1) H(t– 2)}.

A: We will find out the required value.

Q: Solve the equation for 0 < 0 < 2r 2cos e+2 = 3 +cos² e A) {아 B) 4 4 11T TC C) 6 D) 0,

A:

Q: Q1: Find the general solution of the following equation. ỹ + 2y + y = cos²x

A:

Q: (D3 + D - 10) y = 29e4x

A:

Q: For the function f(x) = 3 cos(2x + 7), a. The period is: b. The amplitude is: c. The phase shift is:

A:

Q: Solve the equation: (D² - 1) y = 0 Oy=c₁e* + c₂xe* + c3 cos x + c4 sinx Oy=c₁e¹* + c₂e + c3 cos x +…

A: A detailed solution is given below.

Q: The equation of motion of a body performing damped forced vibration, is given by d2xdt2+5dxdt+6x=cos…

A:

Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

A:

Q: y" +4y' = 3e2 + cos 2t + t?

A: Given:y'''+4y'=3e2t+cos2t+t2

Q: (D² – 2D + 5)y = e* cos x

A:

Q: The function r'e- sin(7x) is annihilated by the operator

A:

Q: Find the general solution of the D.E (D^2+4)y=sin3x

A: We have to solve the problem

Q: Solve the particular solution of (D2 + 1) y = sec (x) tan (x) using variation of parameters

A:

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- 3xy - 4 cos x = - 6

A: Given  3xy-4cosx=-6

Q: Use the method of undetermined coefficients to find the general solution: y" + 4y : = cos 2t

A:

Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

A:

Q: 3. f (t) = e2t cos 5t – 3t3

A: The given function is ft=e2tcos5t-3t3. The Laplace transform formula for eatcosbt is given by…

Q: Solve for the DE equation associated by the given function: а. у %3D Ае2х + Bе* + C.

A:

Q: (a) Solve the equation, = 4e cos 2x subject to the boundary conditions that dxdy d?u du at y = 0, dx…

A:

Q: dy = 6x– 2x + 1 cos y + eY %D dx

A:

Q: Find the general solution to the equation: y' = y sin(2x + 3) .

A:

Q: Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.

A: To determine the differential equation from the solution  Check the number of constant in the…

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A:

Q: Solve the following equation d² y dt² 2 + 2y = 3e sin t

A:

Q: If xy + ey = e, find the value of yn at the point where x = 0.

A: xy + ey = eWhen x = 0,  ey = e = e1Hence, y = 1

Q: c) Se' sec (e - 1) dt

A:

Q: Ex: SOLVE THE D.E. y"+ 2y' + 2y = e-*/cos3x

A:

Q: In the following problems, eliminate the arbitrary constants. 3. y = (x + c)e¯* 4. y = c, cos 2x +…

A:

Q: Solve by Chain Rule g(t) = sin (e1-t + 3 sin(6t))

A: Solution is written in below steps.

Q: Q2: Find General Solution (YGS)to the equation (Yª-1) Y=COS(2x)

A: From the given information. The given differential equation is as follows.

Q: Find the complementary function Yc, the particular solution Yp and the general solution of the…

A: Given that, y''+y'-6y=e-t+t

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

A:

Q: (d) y" - 2y' +5y=e* cos2x

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Solve the following equation for A Where 0<0 <T. sec (-0 + 5) - csc (-0 + ) = CSC

A:

Q: Solve the following exact equation   (y+ 2xy³) dx+ (1 + 3x²y² + x) dy = 0

A: The given equation is y+2xy3dx+1+3x2y2+xdy=0. The equation is of the form Mx,ydx+Nx,ydy=0 where…

Q: :.) Solve the equation using discontinuous function: y" + 9y = cos(2t) – u47(t)cos(2t)

A: Please check step 2 for the solution.!

Q: (D² – D − 2)y = cos x

A: Here is the solution:

Q: Prove that the equation below is a homogenous one and solve for its equation. 3(3x2 + y?) dx – 2xy…

A:

Q: given by the equation dT -k(T – T,), dt where T, is the temperature of the surrounding medium, k is…

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Q6// Solve the equation: y cos2 x dy + sin x dx = 0.

A:

Q: Solve for the DE equation associated by the given function: у %3D Ае2* + Ве* + С. а.

A: the given solution of differential equation isy=Ae2x+Bex+C

Q: y" + 9y = e" cos 3x + x² + x³e*

A:

Q: e. y"-3y'-4y = -8e' cos 2t

A:

Q: By solving the equation y'(t) = sin(9t) – 81 y(u)du with y(0), we obtain the convolution y(t) = sin…

A:

Q: 5. A cup of warm coffee at 80°C is cooling off outdoors according to the equation dy = k(y – 20) -…

A: To find the value of k and temperature when t=15 minutes

Q: Solve : = - 3 y t16y =0 fus uwer. = 3 cos 4x- Sin

A: