1. Employ the Heun's method to solve x .y=1, using a step size of 0.7 and y(1)=5 dx and determine the value ofy at x=1.2.

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: dy 2x + 1 y(-2) = -1. dx 2y

A: To solve the IVP: dydx=2x+12y, where y-2=-1. Solution: Separating the variables of the given…

Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

A:

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

A:

Q: Verify the exactness of the given function (1+ex/y)dx+ex/y(1-x/y)dy=0 and then write the complete…

A: Solution: The objective is to find the general solution of the given differential equation

Q: Use Improved Euler's Method to approximate y(0.7) for y'-y²-1=0; y(0) =0 Use h=0.1. Calculate up to…

A: Using Improved Euler's Method , we have to approximatey(0.7)  for   y'- y2 -1 = 0 ,     y(0)=0Also…

Q: 3.2 (2x - y²) dxdy

A:

Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

A: The given integral is A2∫-aaa4-2a2x2+x4dx=1. We have to find the value of a.

Q: B Solve the following D.E y(6y² – x-1)dx+ 2.xdy = 0, y(6) =1.

A: Given: y(6y2-x-1)dx+2xdy=0, y(6)=1 The given differential equation is a bernoullie differential…

Q: Compute the values of dy and Ay for the function y = e3x + 3x given x = 0 and Ax dx = 0.02. Round…

A: Please find attachment

Q: Solve: y (cosx)= (9+ y²)

A:

Q: Solve the following D.Es: 1. (x+ 1) = x(y² + 1). dr

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the value of x for which f(x) = x³9x² + 5x-e7 +11″ has the lowest instantaneous rate of…

A:

Q: If dy/dx = 4x/y and y(0) = 5, find an equation for y in terms of x. A x²/2=2y² + 25/2 B. y²/2 =…

A: To solve the following problem

Q: 3. Solve the following: 2xdx (x²+1)2 a. b. y = f xe* dx, given y=0 when x=0 x-2x+1 dx с. d. sn (Inx)…

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

Q: Given 2y + 1.6y = 5x, y(0) = 0.4. Using Heun's method with a step size of h = 1.5, find the…

A:

Q: 0.1. Solve the following equations by using undetermined method: d*y d'y +16 y =0 +8- dx dx?

A:

Q: 35. Find a value of the constant k so that kx²y dx dy = 1.

A: