a=3 By replacing y" and y' with central differences, derive the finite difference equation for the boundary value problem y" + y' - y = x on [0. 1] with y(0) =y(1) = a using 6 subintervals.

Q: x² - 4x +6 4 X Find y' if y=- y'=0

A: Given query is to find derivative.

Q: Z = XY X-Y Find the partial derivative of Zxy= = Ans: Zxy: - 2xy (x-Y)³

A: Given: z=xyx-yWe need find zxy.

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: max value for y

A:

Q: consider y'=-2y,y(0)=1 and analytic solution is y(x)=e^-2x a.Approximate y(0.1) using two steps of…

A:

Q: Find y'' for y = 4+ 5X 3

A: Given :   y=4+5x3     To Find : y''

Q: 4. Solve x²y" - 5xy' + 8y = 4x², for the boundary conditions y(1) = 1, y'(1) = 1.

A:

Q: Differentiate. y = In (4x² - 7x+5) y' =0

A:

Q: Find y' for (ry)”/” – 64 at the point (4,4). (wy)³/2 C At (4, 4), g' DE

A:

Q: Find y' if y = In(9x² + 5y²). y' = X

A: The given data is: y=ln(9x2+5y2)  Find y'

Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

Q: Winter FunⒸ has determined that the total profit (in dollars) for its west coast factory from the…

A: The profit function:The marginal profit function can be calculated by the differentiation of the…

Q: mit equatio x²y' + 2xy + O with respect to x and solve for y'. Skip (you cannot come back) x²y + xy²…

A: Given query is to find the derivative.

Q: Find a solution of x = y²_ (a) (0, 1) 1 1-xec y = (b) y = dy dx (0, 0) y = (c) (-1/2-1/2) (d) (2,…

A:

Q: Find y' and y'' given x2 +xy +y2 =1

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.