B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

Q: Solve (y2 + xy) dx - x2 dy = 0.

A: We have to find out the solution of the given differential equation

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

Q: solve  (y2+2x2y)dx+(2x3-xy)dy=0

A: Consider the given differential equation:

Q: Solve: xy dx + (2x² + 3y2 - 20) dy = 0. %3D

A:

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

A:

Q: $x+ 2 4x -1

A: Given that                                                           I=∫8x+24x-1dx

Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

A:

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

A:

Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

Q: (x++) dx J x²+2x +5 2

A: Solution:Given     ∫(x+4)x2+2x+5dxFormula:∫dxx2+a2=1atan-1xa

Q: 2y d³y dx3 (y + 3 dx) dy dx² + 2

A:

Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

A:

Q: (2x-2y-1)dx-(x-y+1)dy=0

A:

Q: Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

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

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: (xsinx+2y)dx+xdy= 0

A: The given differential equation is

Q: Solve (D² - 5D + 6) y = e sin x

A: Re-write the given differential equation as follows. D2-5D+6y=e sin xD2y-5Dy+6y=e sin xy"-5y'+6y=e…

Q: solve (D2+1)y=sinxsin2x

A:

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: B) Solve: (x² + 3y²)dx - 2xy dy

A:

Q: S dx 3x-1 b.

A:

Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

A: