d Q. – L dx VE In(t)dt equals a. 4x³ (In x) – V2 ln(2) b. 4г5 (In a) — V2ln(2) c.4x³ (ln x) d. 16x° (ln x) |

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

A:

Q: - 10)dx= -

A:

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: dy (а) Find for y = cosh(4x). dx 10 (b) Find ( + i) 4

A: Given that: (a)y=cosh(4x)(b)14+14i10

Q: Find dy/dx. x = t /2 + t y = sqrt(2 + t

A:

Q: dy (1 + x)y dx

A:

Q: 1. dx Jo (x2 + 4)3/2 8.

A:

Q: a) L{te3t – sint + cost} =? 1 =? b) L-'s-2)(s2+25-5)

A: a) We have to find ℒte3t-sint+cost

Q: (3 In z + 2)4 dz Z

A: The given integral is (3 lnz +2)4/z.

Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

A:

Q: ル。 dz = 2. For z = -5x* - 6y and a Point P ER' we have dz 23 dy Determine the value of

A:

Q: 6 - 7t g(t) 8t + 9 g'(t) =

A:

Q: ۱۴ 14 g 3 3+1x 1= x² + 1× AND -FIND /dx WHEN X=2 =6.

A:

Q: S (8)0.5x dx 2

A: Consider the integral as, I=∫2480.5xdx Simplify the expression as,…

Q: d. y= 2xe2x e. y= log2(2x2 + 1)

A: The objective is to find  dy/dx.

Q: 7. Find (a). pln e" sec? e" dx (b). 2V5x3+4 dx

A:

Q: The value of (i)' is = ... O T/2 O T/2 O e^(-T/2) O e^(Tt/2)

A:

Q: S Si e** (y + 6x²y)dxdy =?

A: According to the given information it is required calculate the integral

Q: 1/4 S (2 + sec)? dx

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: d/dx (Vx)=1/vx.2 a. True b. False

A: using the differentiation  formula,       d/dx (xn )=nxn-1

Q: d Find -(4 In(x)) dx

A:

Q: Solve ry + (2r* – 1)y = 4x*e %3D

A: Solving the first order differential equation

Q: d (coth x)= dx

A:

Q: Find the derivative. d. (in (5x? + 2))

A: We have to find out the derivate of given function

Q: | f(x)dx Select one: а. S f(x)dx 2 b. 1 С. f(x)dx - d. 0

A: Given integral is: ∫aaf(x)dx

Q: Find dy dx a. 20 In (e 5x +20) y= b. y = 20x (220x) 20% c. y = €²0x-1 + 20 In (ex)

A: Consider the equations, (a) y=20lne5x+20 (b) y=20x220x (c) y=e20x-1+20lnex The objective is to find…

Q: (a) E= 1.5x10-12 J, Q = 1.6x10-19, V = ?

A:

Q: Find (d y/d x)& (dy/dx²) еУ cos xу 3D х ey

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.