3y" + 6y + 3y = 9, y(0) = 0, /(0) = 6 %3D

Q: i '2/3

A: Given: i23 we know that amn=am1n

Q: exp(iz) = 1+ iV3.

A:

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: 1. f4x-³ dx -3

A: Find the integral

Q: Find y= Cot )

A: According to chain rule of differentiation ddxfgx=f'gx·g'x and according to division rule of…

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: find dy du

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Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: 3 3 + x dx

A:

Q: ({)*** = 2x+2 27 %3D 125

A: topic - exponents and linear equation

Q: y=(x+x*}

A:

Q: 2/3 = z/15

A:

Q: 9=/7-4/+2= 6=/2-41+1= %3D

A: Applying absolute value we have

Q: 13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 9" -४ - 24 = x %3D

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 41Stañdx= Q22x+1 X'+2X+1

A: (1) Given integral is ∫tan−1xdx It can be written as ∫tan−1x⋅1dx Use integration formula…

Q: y`= -2xy

A: Here solves the differential equation by the power series method.   Let us assume that the power…

Q: -, z) = ( %3D

A:

Q: find dp/ dq. sin q + cos q = cos q

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Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: x² + 8x + 5 x³ + 8x / dx

A:

Q: 2. Calcula con precisión n = 2 %3D x2 - 4x + 3.99999 = 0

A:

Q: exapy %3D 4-x2

A:

Q: The equation A = 200(2)". can also be written as:

A: We have to rearrange  the given equation.

Q: Find y" for y =5- 3

A: Answer and explanation is given below

Q: 1 2 (2.) } ² dx 2 2 ²x + 4x + 5

A:

Q: Solve for x. 3x2 - 10 = -5 O = +V15 9. 日川上/ x =±, 5/9

A: Given that, 3x2-10=-5 Now add 10 on both sides of the given function we get, 3x2-10+10=-5+10⇒3x2=5…

Q: y' = 2x + 14

A:

Q: 5, S₂(4 - 2x)dx

A:

Q: So λ (1-ey) o λ + (2-2) e-y Ө 0+ ℗ + (2 − 0) e¯½ dy

A:

Q: 2=1/2 - x/10

A: Here, the equation is given:

Q: 6/T-9x dx

A: Here we have to integrate        ∫[(6√x - 9x)/x2] dx