Question

Question 11: What is the general solution of the following homogeneous second-order differential equation? d^2y/dx^2 +...

Question 11:

What is the general solution of the following homogeneous second-order differential equation?

d^2y/dx^2 + 10 dy/dx + 25.y =0

(a)

y = e 12.5.x (Ax + B)

(b)

y = e -5.x (Ax + B)

(c)

y = e -10.x (Ax + B)

(d)

y = e +5.x (Ax + B)




Question 12:

What is the general solution of the following homogeneous second-order differential equation?

Non-integers are expressed to one decimal place.

d^2y/dx^2 − 38.y =0

(a)

y = e -6.2.x (Ax + B)

(b)

y = e -6.2.x(A.sin(6.2.x)+ B.cos(6.2.x))

(c)

y = e 6.2.x (Ax + B)

(d)

y = Ae -6.2.x + Be 6.2.x




Question 13:

What is the general solution of the following homogeneous second order differential equation?

d2^y/dx^2 − 4dy/dx + 13.y = 0

(a)

y = A e2.x + B e3.x

(b)

y = e2.x (A cos(3.x ) + B sin (3.x))

(c)

y = e-2.x.(A cos(3.x) + B sin (3.x))

(d)

y = e3.x (A cos(2.x) + B sin (2.x))




Question 14:

What is the general solution of the following homogeneous second order differential equation?

d^2y/dx^2 + 9 dy/dx + 20.y = 0

(a)

y = A e4.x + B e-5.x

(b)

y = A e4.x + B e5.x

(c)

y = A e-4.x + B e-5.x

(d)

y = A e-4.x + B e5.x




Question 15:

What is the general solution of the following homogeneous second order differential equation?

d^2y/dx^2+ 5 dy/dx − 36.y = 0

(a)

y = A e4.x + B e9.x

(b)

y = A e-4.x + B e9.x

(c)

y = A e-4.x + B e-9.x

(d)

y = A e4.x + B e-9.x

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Second-Order Linear Non-homogeneous with Constant Coefficients: Find the general solution to the following differential equation, using...
Second-Order Linear Non-homogeneous with Constant Coefficients: Find the general solution to the following differential equation, using the Method of Undetermined Coefficients. y''− 2y' + y = 4x + xe^x
1218) y=Ax+Cx^B is the general solution of the first-order homogeneous DEQ: (x-y) dx - 2x dy...
1218) y=Ax+Cx^B is the general solution of the first-order homogeneous DEQ: (x-y) dx - 2x dy = 0. Determine A and B. Also, include a manual solution in your portfolio. ans:2 1220) y=Ax+Dx^B is the particular solution of the first-order homogeneous DEQ: (x-y) = 2xy'. Determine A,B, & D given the boundary conditions: x=7 and y=5. Include a manual solution in your portfolio. ans:3
(61). (Bernoulli’s Equation): Find the general solution of the following first-order differential equations:(a) x(dy/dx)+y= y^2+ln(x) (b)...
(61). (Bernoulli’s Equation): Find the general solution of the following first-order differential equations:(a) x(dy/dx)+y= y^2+ln(x) (b) (1/y^2)(dy/dx)+(1/xy)=1
For each equation below, do the following: - Classify the differential equation by stating its order...
For each equation below, do the following: - Classify the differential equation by stating its order and whether it is linear or non-linear. For linear equations, also state whether they are homogeneous or non-homogeneous. - Find the general solution to the equation. Give explicit solutions only. (So all solutions should be solved for the dependent variable y.) a. y′ = xy2 + xy. b. y′ + y = cos x c. y′′′ = 2ex + 3 cos x d. dy/dx...
Solve the following second order differential equations: (a) Find the general solution of y'' − 2y'...
Solve the following second order differential equations: (a) Find the general solution of y'' − 2y' = sin(3x) using the method of undetermined coefficients. (b) Find the general solution of y'' − 2y'− 3y = te^−t using the method of variation of parameters.
3. Find the general solution to the differential equation: (x^2 + 1/( x + y) +...
3. Find the general solution to the differential equation: (x^2 + 1/( x + y) + y cos(xy)) dx + (y ^2 + 1 / (x + y) + x cos(xy)) dy = 0
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0...
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0 (a) A one-parameter family of solution of the equation is y(x) = (b) The particular solution of the equation subject to the initial condition y(1) =1/7.
dy/dt - 2y = 7e^(2t) a. Determine the general solution to the associated homogeneous equation. b....
dy/dt - 2y = 7e^(2t) a. Determine the general solution to the associated homogeneous equation. b. By choosing an appropriate guess, determine a particular solution to this differential equation. c. Using your answers from parts (a) and (b), write down the general solution to the original equation d. Check that your solution is correct by plugging it into the original ODE. e. Determine the specific solution corresponding to the initial condition y(0)= 3 Pls explain how you did it
Use the method of reduction of order to find the general solution of the following differential...
Use the method of reduction of order to find the general solution of the following differential equation. (t^2) d^2y/dt^2 + t dy/dt + (t^2-1/4) y = 0, y1(t) = sin t/sqrt(t)
1. Find the general solution of the first order linear differential equation: 2*x*dy/dx -y-3/sqrt(x)=0. sqrt() =...
1. Find the general solution of the first order linear differential equation: 2*x*dy/dx -y-3/sqrt(x)=0. sqrt() = square root of (). 2. Are there any transient terms in the general solution? Justify your answer.