Example 2. Solve the equation y(y* – 1)dx + x(y +x)dy = 0 Answer: 2ry – a? = cy %3D

Q: x²-x dx [x -] %3D

A: Given,

Q: Solve (2x – –10y°) +y=0

A: Given the differential equation          2x-10y3dydx+y=0

Q: 2x-1 dx

A: Given,

Q: y - 1 %3DCOS (7x*) dy dx %3D

A:

Q: 1X-31 dx -2

A:

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: (4x+2x)e dx

A:

Q: 4 sin-lx dx X.

A:

Q: (x+ 3y – 5)dx – (x - y– 1) dy =

A: the given differential equation is: x+3y-5dx-x-y-1dy=0 we have to solve the given differential…

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

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: dy dx 2xy + 6x + (x²-4)-

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

Q: 2- Solve (4x + 2y + 3)dx - (6x + 3y – 2)dy = 0.

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: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: 7²y+3y1 = -8 dy/dx %3D

A:

Q: x3 2. J Sadx 2. 3.

A:

Q: what is y=1/2tan3x

A:

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

A:

Q: dy yet sh te +2xy = e=x? dr Solve

A:

Q: Solve : (x-ay)dx = (ax – y )dy

A:

Q: S(4x - 3) d

A: Follow the procedure given below.

Q: 3. fx²4 dx 5. dx 3x² + 1 +x dx u= U= U= du = du = du = answer: answer: answer:

A:

Q: 9 coshx - 5 sinhx 15 %3D

A: To solve  9coshx-5sinhx=15