5. y(r + y)dx + (x+ 2y-1)dy = 0 (determination of integrating factor) %3D

Q: Is differential equation (4xy + 3y4)dx + (2x² + 5xy³)dy = 0 exact? If it is not exact what is its…

A: Given differential equation 4xy+3y4dx+2x2+5xy3dy=0. Is the differential equation exact? If not find…

Q: e particular solution of the differential uation x^2 dx - (y+1) dy 0 if y(0)=1 2y^2+3y-6x^3+6= 0…

A:

Q: 1. Integrating factors found by inspection: (xy + xy)dx+(x²y²-2)dy = 0

A:

Q: The integrating factor of non-exact differential equation (æ³y³ – x®)dx – (y6 – x³y)dy= 0 1 xty3 +…

A:

Q: dg dx =g (4-8)4=x* 2.

A:

Q: 1. The integrating factor of (4xy + 3y² – x)dx + x(x + 2y)dy = 0 2. The standard form of Bernoulli's…

A: Differential equations

Q: 1.3 Is x?y*dx + x°y³dy factors are not unique. an exact differential? Can you find an integrating…

A:

Q: y∅=1/(xy^3) is the integrating factor of x^2y^3+(1+y^2)dy/dx=0

A:

Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: Find a suitable integrating factor to solve the first the first order linear differential equation…

A: Y(X)= x2+x

Q: 2y(x² – y + x}dx+ (x° – 2ykdy= 0 2. Determination of integrating factors:

A: In this question we have to do Determination of Integrating Factor.

Q: determination

A:

Q: dy dx 3y x+1 || (x + 1) 4

A:

Q: y(x²y² – 1)dx + x(x²y² + 1)dy = 0

A:

Q: Xe dx (x + 1)² 4.

A: Given that, 4.∫xexx+12dx Used formulas: ∫u du=uv-∫v du

Q: . The integrating factor of (4xy+3y2-x)dx + (x+2y)dy = 0

A: Given that: (4xy+3y2-x)dx+(x+2y)dy=0

Q: 3. The function 0(x) = 1/ sin(x) is an integrating factor of (ysin(x) + cos(x))dx + (x+ y) sin(x) dy…

A:

Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

A:

Q: dy/dx + 2xy equals e-x^2 , where y(zero) equals 1. Find the solution of the initial vaue problem of…

A:

Q: The integrating factor of the non-exact differential equation (r*y + y°)dx – (3° + x*y)dy = 0. is 1…

A:

Q: find the integrating factor of the given linear DE and general solution of the y'+1/x (y)=cos(x)

A: Consider the given linear differential equation. y'+1xy=cosx The objective of the problem is to find…

Q: The equation 2ydx + (3y– 2x)dy = 0 has an integrating factor equal to: O y O y^(-1) O y^(-2) O y^2

A:

Q: The non-exact differential...(x² + y²)dx + (3xy2 + 2xy + x³)dy = 0 can be reduced to exact after…

A: We need to determine the integrating factor for the differential equation: x2+y2dx+3xy2+2xy+x3dy=0…

Q: 1.(x fan y t y) dx - xdy = 0 2- ye "dx - (ure)dy cbssitication and Solution by appropiate methed

A:

Q: 1. Integrating factors found by inspection: (xy’ +xy dx +(xʻy² – 2 kdy = 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: If µ(x, y) = x" y" is an integratingfac. of the the DE. . (1 + 3xy)dx + (xyl + x²)dy = 0 Then, the…

A: A differential equation of the form Mdx+Ndy=0 is said to be an exact differential equation if it…

Q: Solve the general Solution of:  (xsiny/x- ycosy/xdx)dx + xcosy/x dy=0

A:

Q: y(x + y)dx + (x+ 2y - 1)dy 0 (determination of integrating factor)

A:

Q: Solve for the integrating factor y (x + y) dx + (x + 2y – 1) dy = 0 Option 1 Option 2 et Option 3…

A:

Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

A:

Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

A: Differential equations

Q: Use a technique of integration or a substitution to find an explicit solution of the given…

A:

Q: If the integrating factor of the differential equation dy + py = q is sec³ x ,then the value of the…

A:

Q: (2) An integrating factor of (xy³ + y)dx + 2(x²y² + x +y*)dy = 0 is (a) y (b () (d) 2xy

A: We need to find an integrating factor of xy3+ydx+2x2y2+x+y4dy=0 Now, a differential equation of the…

Q: The integrating factor of the non-exact differential equation (x°y? + y') dx – (y° + x*y)dy = 0 is

A:

Q: 2) (2x + sin x) dx + x cos y dy = 0 3) - 2y + a = 0 dx dy 3y 4) r2 (Exact). (Separation variables).…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: (2y° + xy }tx + (x*y² – 2}ty = 0 Integrating factors found by inspection: %3D

A:

Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

A: We obtain the differential equation of the family of straight lines with slope and y-intercept…

Q: 5. y(x + y)dx + (r+ 2y – 1)dy = 0 (determination of integrating facto

A:

Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

A:

Q: 50. The integrating factor of the differential equation x dy + (y - x^2) dx = 0 is.

A:

Q: 14) Change the order of integration to dx dy dz 4 4-x 4-x- y SS dz dy dx 0 0

A:

Q: So Sty dx dy √y(1+x²) The value of integration is very high

A: Given ∫01∫y1dxdyy(1+x2)

Q: 7. The integrating factor of the non-exact DE ydx- xdy3D0 is -1/(xy). 8. The integrating factor of…

A:

Q: 3. Find dy/dx of: x'(x-y) -x-y evaluated at x = 0.001 and y = 0.002

A: The given equation is x2x-y2=x-y2 at x=0.001 and y=0.002.

Q: (b) Evaluate 18x²y² dx dy where D is the bounded region enclosed between the curves y = 2/x², y =…

A:

Q: 4. Find an integrating factor that is a function of only one variable, and find an implicit…

A: on solving this differential equation istly we will make this exact differential equation on finding…

Q: B. Integration by Parts 1. xcosx dx

A: We know that integration by part formula is given as  ∫uv dx = u∫vdx - ∫dudx∫vdxdx To evaluate: ∫x…

Q: y∅=y^-2 is the integrating factor of 2y(x+y+2)dx+y^2-x^2-4x-1)dy=0

A: