The ordinary differential equation is given 1 (y− 1)²dx + (xy - 2x + |dy = 0, y = y(x). y Find the integral factor so that the given differential equation to become exact (complete) and then to calculate its general solution.

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation"…

A:

Q: Find a particular solution y, of the following equation using the Method of Undetermined…

A: The solution is given as

Q: Solve the differential equation: 2cos(2x)y^2+2ysin(2x) dy/dx = 0, y( π/8 ) = −2, find y(t)…

A:

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A:

Q: (xy - y²)dx - x² dy = 0, y(1) = 1

A:

Q: Determine the solution of the 1st Ordered Differential Equation: (x - y)(4x + y)dx + x(5x - y)dy = 0

A: We have to solve given problem:

Q: ,2x Calculate the second derivatives of function f(x) = sin(x) + Ide²x at point x = 0.625 using…

A: Three point central differential formula for 2nd derivative   f′′(x)= f(x-h)-2f(x)+f(x+h)h2 Five…

Q: Find the general solution of the ordinary differential equation: r²y" – ry + y %3D

A: The differential equation is given as x2y''-xy'+y=2x                         (1) It is a Cauchy…

Q: Solution to this differential equation: (y2-3y-x)dx + (2y-3)dy + 0

A: the given differential equation is the first order linear differential equation.we will solve this…

Q: Determine whether the differential equation (8x² − 2xy + 6) dx + (2y² − x² + 8) dy = 0 is exact. If…

A:

Q: yJzスこナる dy t xJ (A ZXZ+3

A: given differential equation is variable separable differential equation we will first separate the…

Q: Determine whether the differential equation (5x² - 2xy + 6) dx + (7y² - x² + 5) dy = 0 is exact. If…

A:

Q: Give an example of a series that converges by the integral test.

A:

Q: Solve the differential equation by linear method dy 4 -2(x+1)* dx (x +1)

A:

Q: differential equation is given as

A: In this question, the concept of the differential equation is applied. Differential equation A…

Q: Find the general solution for the differential equation 2x dx + coty (1+x²)dy = 0. %3D

A:

Q: Find the integrating factor of the non-exact differential equation : (3x²y+6xy+y³) dx+3(x²+y²) dy=0

A: Given a differential equation, 3x2y+6xy+y3dx+3x2+y2dy=0. To find the integrating factor of the given…

Q: Use the method of comparing the coefficients to find a particular solution for the differential…

A:

Q: ne differential en y(3) =

A:

Q: 5 dy dx √√x²-4x 9. Find the general solution to the differential equation: *Solve for y. Indicate…

A:

Q: Determine the solution of the 1st Ordered Differential Equation: (x - y)(4x + y)dx + x(5x - y)dy = 0

A:

Q: nd the solution of the differential equation = Z 3 + sin(z) with i dz

A: Given: dfdz=z-23+sin(z)f(0)=2

Q: Which of the following is the general solution to the differential equation 4xy -x2-y" dx for x 0?

A:

Q: Solve the differential equation , where y, is known solution dy = 2x + dx y-2y, Y = x.

A: Given differential equation dydx=2x2+1xy−2y2......1 This equation is a Riccati  equation. Compare…