x^2y''+(4x-x^2)y'+(2-x)y=0 frobenious
x + y +3z = 3 x +2y -3z = -2 4x + 12y +kz = - 27
2. Solve the initial value problem = 4x + 2y, = 2x + y with r(0) = 1, y(0) = 0.
y" + 2y' - 24y = 16 - (x-2)e^(4x)
a. With Laplace transformers solve x"+4x'+20x=0 ; x(0)=4 & x'(0)=-5 b. With Laplace transformers solve x'=2x+2y and y'=2x-y ; x(0)=1 & y(0)=2
Systems of equations: solve using elimination method X+2y-z = -6 3x-y+z = 8 4x-y-2z = 0
Solve the ODE/IVP: 4x^2y'' + 8xy' +y=0, y(1)=2, y'(1)=0 Please help me solve this using series. Thanks
Solve the equation. (2x)dx + (2y - 4x^y 'dy =0 by multiplying by the integrating factor. An implicit solution in the form F(x,y)=C is = C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) the solution y = 0 was lost the solution x = 0 was lost no solutions were lost
Please use matlab for the following problem I. For the function. /(x) -X-4X+2XY+2Y+2Y+14 a. Plot the surface function for X over [5 6]. and Y over [-4, -2]. ecolour plot for X over [O 101 and Yover [43] and values for the contours of V [1 1.25 1.5 22.5 3] c. Write an m-file to find the minimum of the function using the gradient descent method Use a starting value of [4, -4]. I. For the function. /(x) -X-4X+2XY+2Y+2Y+14 a....
dr Consider the system: = 4x – 2y dy = x + y dt (a) Determine the type of the equilibrium point at the origin. (35 points) (b) Find all straight-line solutions and draw the phase portrait for the system. (35 points) (c) What is the general solution to the system? (15 points) (d) Find the solution of the system with initial conditions: x(0) = 1 and y(0) = -1. (15 points)
#4 Complete the squares. a) x2 + 4x - y - 12 = 0 for x b) 2x + y2 - 6y = 1 for y #5 Solve the system of equations sx - y = 11 a) 12x + y = 19 1-3x - 2y = 1 b) 16x + 4y = -2