Question

Obtain the general and particular solution of the DE d2 y(x) / d x2 + (1/2)...

Obtain the general and particular solution of the DE d2 y(x) / d x2 + (1/2) (dy(x) / dx) - (1/2)y(x) = x + 1

By use of the variation of parameters method. Evaluate all coefficients please.

Please make sure the answer is correct

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
A) Find the general solution of the de (d2 / d x2 ) y(x) + (4)...
A) Find the general solution of the de (d2 / d x2 ) y(x) + (4) (d/dx ) y(x) + 4y(x) = 0 B) Obtain the solution of the IVP with IC's y(0) = 1 and dy(0) / dx = 2
Look this DE: d2 y(x) / d x2 + 8(d y(x) / d x)+2y(x) = x...
Look this DE: d2 y(x) / d x2 + 8(d y(x) / d x)+2y(x) = x * sin2(x) A particular solution to the de is (((65x - 284) cos(2x)) / 16900) + (((-520x + 62) sin(2x)) / 16900) + (x/4) - 1 (a) Give the general solution to the DE. Please show work and / or give reasoning (b) Obtain another particular solution
Find the general solution by the method of variation of parameters. B. (x^2)y''-xy'+y=(1/x)
Find the general solution by the method of variation of parameters. B. (x^2)y''-xy'+y=(1/x)
Find general solution to the equations: 1)y'=x-1-y²+xy² 2)xy²dy=(x³+y³)dx
Find general solution to the equations: 1)y'=x-1-y²+xy² 2)xy²dy=(x³+y³)dx
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
Use dy/dx + p(x)y = f(x) has the solution y = y_c + y_p to solve....
Use dy/dx + p(x)y = f(x) has the solution y = y_c + y_p to solve. (Integrating Factor method) Find the General solution for the DEQ: dy/dx + 2xy = y + 4x - 2. Show step by step. Please explain or I will give a down-vote. Thank you
Let lambda be an eigenvalue of A in X'=AX of multiplicity n. Find the general solution...
Let lambda be an eigenvalue of A in X'=AX of multiplicity n. Find the general solution of dx/dt = -5x +3y dy/dt = -3x + y Use eigenvalues, eigenvectors, and coefficients in your method.
Solve the following DE: x dy/dx + 2y = x^2 - x + 1 ; y(1)...
Solve the following DE: x dy/dx + 2y = x^2 - x + 1 ; y(1) = 1/2
Find the general solution of the given differential equation (x+!) dy/dx + (x+2)y = 2xe^-x y...
Find the general solution of the given differential equation (x+!) dy/dx + (x+2)y = 2xe^-x y = ______ Determine whether there are any transient terms in the general solution.
(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