d’y -4 dy +y=t²-2t +3 1. dt? dt

Q: t-1 dt

A:

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: -t te dt.

A:

Q: Tte ne-(s+a)t dt

A:

Q: dx -Зх — бу 3D 0 dt dy 3x + 3у %3D 0 dt

A:

Q: 1- 3t - 2 t+1 - dt

A:

Q: dy Find dt y = (4+ csc 2t) dy %3D dt

A:

Q: dx 1. dy y 3x :-5x2 dy 2y 2. dx = -4x²

A:

Q: dy Find for y = 9+ 10t2 dt. dw

A:

Q: Solve y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0 using the substitution Z = 2 x y

A: Given that y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0  Therefore, we have  y (1 + 2 x y) dx + x (1 – 2 x…

Q: d sec*t dt dx.

A:

Q: J(2t-3)-e-t²,3t i. 2t – dt 3 2vlnx dx . ii. X 2 iii. (2y-3]12 kdy.

A:

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

A:

Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

A:

Q: d³x d2x dx -2- =0 dt dr3 dr?

A:

Q: find ds/dt. s = t2 - sec t + 5et

A: Given: The function is,

Q: dx -x = ev/2 x3 dy 2)

A: By using linear differetial equation method

Q: dy 2. dx y 2x+y³ ey

A:

Q: 2 ( 2 2 + 5xy -2y+ 4) dx + × ( 2x +2y-) dy =0

A:

Q: b.Introduce a new dependent variable v so that v = y/x, or y = xv(x). Express dy/dx in terms of x,…

A: Given that, v=yxy=vx

Q: If xy +x = 12 and OA. -9 OB. 3 OC. 9 OD. -3. dx dt = -3, then what is dy dt when x = 2 and y = 5?

A: The given function is

Q: dx 7. 7- Зх

A:

Q: Hiw 2 4t é dt 2 O Sx Sečx dx

A: (1) Consider the given integral. I=∫csc3dx The reduction formula is defined as.…

Q: dx + 2x – 3y = t dt

A:

Q: 4 d 4. Find dx 2 Vt2+17 dt

A: The given integral is,