f(c) = 7e+c(cos2c + coshc) %3|

Q: Find the solution fo (x^3-y^3)dx + xy^2

A: Here we have,  (x3-y3)dx+xy2dy=0⇒(x3-y3)dx=xy2dy⇒dydx=(x3-y3)xy2 ..............(1) Which is a…

Q: d -(3x² + 11)e¬ª at x = –1. dx Evaluate

A:

Q: Find the value of df/dx at x= f(a). f(x) = x² - 2x+ 4; a = 3

A:

Q: d'y 5dy -3y = 0 dx 2- 2. Determine the general solution of

A: given: the differential equation is: 2d2ydx2+5dydx-3y=0

Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

A:

Q: (D² – 10D + 34)y = -cos3x

A: First we find complementary function then find particular integral.

Q: Solve (D4 + 2D² + 1)y x cosx +3*

A:

Q: Q3: Solve d2y dy +22+y = e* dx2 dx

A:

Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: Find d²y/dx² for the following equatio: f) x2/3 + y2/3 = 1 g) x³ + y4 = 16

A:

Q: Solve (D2+2D+2)y=e-x+sin 2x

A:

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: (d) Find the value of x f' (g (x)) dx. 1

A: Definite integration from graph

Q: Eo f is y = 1(a- 4). 3D1

A:

Q: (D³– 4D°D'+ 5DD2 – 2D ) z = e'*2* + Vy + +2x +Vy +x. |

A:

Q: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: Find d2y/dx2 for the equation x=x3y2-3y3

A:

Q: x² dx x²-3x+2

A:

Q: Find (a) E (Y/X= 2)

A: Answer: Using the given joint probability function for the random variables X and Y

Q: [D3 – 6D2 + 11D − 6)y = cosx sinx

A: The objective is to solve the above differential equation.

Q: f (x) dx 21 and g(x) dx 14, find 3f (x) + 5g(x)] dx.

A: ∫09f(x)dx = 21   ∫09g(x)dx = 14∫093f(x) + 5g(x)dx = ?

Q: Q2/ solve; dy A: dx y **= e* + y3 x+1

A: Consider the given differential equation as below: dydx-y(x+1)=exy3 Here the objective is to find…

Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

A:

Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: f(x)dx =| -8 -4 -4 (9f(x) – 7)dx

A: see below the steps and calculation

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

A:

Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: (e) f(x)=(Vx 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: B: Solve the following integrations: a- fx³e-2x dx b-fdx +10 c-f 3sec³x. tanx dx

A:

Q: dx (XS_8)5

A: The objective is to evaluate the integration.

Q: d (sin²(x)e³*+") dx xp

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 1. y" - y' - 2y = e* %D

A:

Q: Q3) a) find f sec³ x dx

A:

Q: Q3/ Solve dy dx4 2d²y + 1 = 0 dx²

A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: Find the solution. dy x-+ 5y =2r2y4 dx

A:

Q: d’y d²y D. = 3e* +4x2 dx dx2

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

Q: Evaluate (D2+3D+2)y=(1+e-x)-1

A:

Q: dy Given y= x³In x, -is dx A 3x2In x B B 3x2in x+ x2 ( c) x2 D 3x2

A:

Q: Solve (D² – 3D – 4) y = 16x – 50 cos (2x)

A:

Q: (d) y = x* (e) y = In(e2r + e-2#) (f) f(r) = e-

A: See solution below

Q: x² dx : 2 V4– x²

A: Proceed as shown below

Q: Solve the Fo (lowin) D-E e* y+2 ey =2X 2X

A:

Q: (a) In e7 (b) eln 2 %3D (c) eln v3 %3D Preview (d) In e5

A:

Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

A:

Q: - (D² +2D+5)y=e* sin 2x

A:

Q: If fF · df = [cl-3x – 4y³ ) dx + (x²y) dy, what is F? F =

A:

Q: Y1 (x) = 8a + 2x; y2(x) = x In(bx); y3(x) = ca?.

A:

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…

Q: dy b. If y = V(B1e* – B2 x³ + B3 x + B4 + In(x))5 , then find the dx A1=1 A2=5 B1=4 B2=6 B3=2 B4=1

A: