dzy dy +8 +2 y 2x²e* + 4 cos (x) dx2 dx

Q: (3xy²+2y)dx+(2x²y+x)dy=0

A: Given differential equation is (3xy²+2y)dx+(2x²y+x)dy=0

Q: (2+3x)2 dx

A:

Q: 2x-1 dx

A: Given,

Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: Find - 6x+1 x² +1 -dx.

A:

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

A: We have to solve given problem:

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: dx V4 - x - dx 2 8)

A:

Q: dx XI. Vx(x+1)

A: Here I am attaching image so that you understand each and every step.

Q: 2 x² +1 -dr. VI Calculate

A: ∫xn=xn+1n+1

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: dx d. de. f(3x + 2)5 dx f sec²x

A:

Q: Ssin8 (3z) cos5 (3z) dz

A:

Q: -dx x +1 2 5.

A:

Q: 2х — 3 /3x2 — 9х + 27

A: Consider an integral of the form, The integral of this form can be solved using the substitution…

Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

A:

Q: dy_2y-x+5 dx 2x- y-4

A: Find the solution of the ordinary differential equationdydx=2y-x+52x-y-4

Q: -3x cos (5x)dx

A:

Q: Solve (xy+x)dx - (x2y2+x2+y2+1)dy=0 using separation of variable

A: Let's find.

Q: Gy-5 (ay +1)3 dy

A: ∫6y-5(3y+1)2dy