Question

In: Math

Find the solutions to (-1+x^2)y''+4xy'+2y=0 y_1=? y_2=?

Find the solutions to (-1+x^2)y''+4xy'+2y=0

y_1=?

y_2=?

Solutions

Expert Solution


Related Solutions

Find a power series solution of this ODE: y''+x^2y'=0 ; y(0)=1 y'(0)= 2
Find a power series solution of this ODE: y''+x^2y'=0 ; y(0)=1 y'(0)= 2
For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema...
For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema or saddle points. Use the D test to classify. Give your answers in (x,y,z) form. Use factions, not decimals.
1 Let f(x, y) = 4xy, 0 < x < 1, 0 < y < 1,...
1 Let f(x, y) = 4xy, 0 < x < 1, 0 < y < 1, zero elsewhere, be the joint probability density function(pdf) of X and Y . Find P(0 < X < 1/2 , 1/4 < Y < 1) , P(X = Y ), and P(X < Y ). Notice that P(X = Y ) would be the volume under the surface f(x, y) = 4xy and above the line segment 0 < x = y < 1...
Find solutions to the following ODEs: • y¨ − y˙ − 2y = t, y(0) =...
Find solutions to the following ODEs: • y¨ − y˙ − 2y = t, y(0) = 0, y˙(0) = 1 • y¨ − 2 ˙y + y = 4 sin(t), y(0) = 1, y˙(0) = 0 • y¨ = t 2 + t + 1 (find general solution only) • y¨ + 4y = t − 2 sin(2t), y(π) = 0, y˙(π) = 1
Determine step by step power series solution about x=0 for: 4xy'' + 2y' - y =...
Determine step by step power series solution about x=0 for: 4xy'' + 2y' - y = 0. note: final answer must be in terms of coshx and sinhx
Consider the differential equation (x 2 + 1)y ′′ − 4xy′ + 6y = 0. (a)...
Consider the differential equation (x 2 + 1)y ′′ − 4xy′ + 6y = 0. (a) Determine all singular points and find a minimum value for the radius of convergence of a power series solution about x0 = 0. (b) Use a power series expansion y(x) = ∑∞ n=0 anx n about the ordinary point x0 = 0, to find a general solution to the above differential equation, showing all necessary steps including the following: (i) recurrence relation; (ii) determination...
1. Perform two iterations of the gradient search method on f(x,y)= x^2+4xy+2y^2+2x+2y. Use (0,0) as a...
1. Perform two iterations of the gradient search method on f(x,y)= x^2+4xy+2y^2+2x+2y. Use (0,0) as a starting point. Please find the optimal λ* by taking the derivative and setting it equal to 0.
Find the solution of the equation given around x_0 = 0. (1+x^2)y"+2xy'-2y=0
Find the solution of the equation given around x_0 = 0. (1+x^2)y"+2xy'-2y=0
Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2
Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2
Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01)
  -- Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01) -- find Zvu for z= f(x,y), x=uv , y= v^2 + u^2 -
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT