xinx y' +y= 2in. Select one: O a. F(x.y) = ylnx –- (Inx)? = c O b. YG.s Inx (2(Inx)² + c) O . F(x,y) = ylnx- 20nx}? = c O d. None 1 O e yos= by (Inx)² + c) Inx

Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

A:

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

A:

Q: exp(iz) = 1+ iV3.

A:

Q: X(35X [En(x) ? dx

A:

Q: e* (x + 2) (x+3)² dx

A: To evaluate the following integral.∫exx+2x+32 dx

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: Vx+I dx. Vx +1

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Q: dx L2 exp %|

A: Given integral is I=∫-∞∞e-x2L2dx This type of integral cannot be done using elementary integration…

Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: X 3- Ssin ² x dx ។

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Q: if y= 3t^2+t+2, x=(2t-3)^3 then dy\dt= 6t+5 false true

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Q: YA 7) 3 X+4 3 y>}x-1 2 432 -2 -1 -4 2 3 4 -2 -3 4 -5

A: The given inequality is: y≤-34x+4y>12x-1

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

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Q: lim (Vx2 + x (v. – x

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Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: хt — х +6 dx х3 + Зх

A: We shall use polynomial long division method to simplify our integrand.

Q: let y = -3 x¹-2x, find y' -12 x4-2 -12 x³ -2 Onone of these answers O-4x³ - 2

A: Given: y=-3x4-2x

Q: Eliminate the arbitrary constants: x^2y=1+cx

A: Introduction: The anti-derivatives of a function can be found using integral calculus. These…

Q: (2x–1)4 y = (a²+1)³ ,3 y = xe*°

A:

Q: Compute f 3 2 x-5x+6 dx.

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

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Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

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Q: x²dx 3 2 3 (5-x') 2.

A:

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

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.