3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x + 10 8A

Q: у" - 5y" 2y' + 24y = x + e-2x

A:

Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: y" + 6y' + 8y = e-³t - e-5t, y(0) = 0, y'(0) = 0 a. (e³t-1)²e-5t 3t 3 b. (et - 1)³e5t c. (et -…

A:

Q: n: y" – 9y = 0; e3x; e-3x

A:

Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

A:

Q: a) -x +y - z = 0 2y + z = 3 z = 0

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

Q: 2 + x², -2 < x < 0 f(x)dx; f(x) TX + 2, 0<x<4 21 -2

A:

Q: √(√x³ - 2 1/2 + √²) d dax In x++²x+ }\x² +C √√(x³)x=√x + √√2x+C

A: SOLUTION-

Q: 3x²=ay² + (1-4x4) dy = 0 (₁ 2. 1 + x³y² +y + xy = 0

A:

Q: (4x-3) find dy/dх y = (2х-7)6

A:

Q: 9-x2 18-22-y2 (x2 + y² + z²) dz dy da? 3 0. x²+y2

A:

Q: 2y4-6x3 +|1x=-37x-16 dx X3 - 3x2+5x-I5 2x

A:

Q: 4. y(y² - 2x²) dx + x(2y² - x²)dy = 0 [Answer: x²y² (y² - x²) = = C

A:

Q: d4y/dx4 + 2d3y/dx3 + d2y/dx2=0

A: Consider the differential equation, d4ydx4+2d3ydx3+d2ydx2=0 Assume y=em1x be a solution to the…

Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: А. X+dy =3 2x -3ÿ =-8 B. x tay +2 =-2 X tdy +Z=-2 -2メ-39-2 = dx +4y tQz==4 ミ9

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: If y=x* - 5x² + 2x – 3 then equals dx A x* - 5x² + 2 В 4x – 10x+ 2x – 34 4x - 10x+ 2x D 4x - 10x+ 2…

A:

Q: d²y x-9 Find for y dx2 = (3x² –2x+5)

A:

Q: -4x² – 16x + 2; x # –7 f(x) = {"* -2; x = -7 A. -2 < y< 18 В. у S -2 С. y < 18 D. -2 < y< 18 E. not…

A:

Q: * 2.2 2x-1 + If y = Vx² – x then y' 3x2-x T O FO

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 2x³-4x-8 2. S; dx (x²-x)(x²+4)

A: Topic:- integration

Q: 2. y" - 3y' +2y = e4x + 6x³ – 2+ 3sin(4x) | |

A: See 2nd step

Q: dy If 4x3 – x²y + xy³ = 8, then dx

A: Here I am attaching image so that you understand each and every step.

Q: Evaluate f 3x²e3" dx Select one: ㅇ (9z2 - 6z + 2)등 + C O (9x² + 6x + 2) + C e3x + C 9. O e3* + Ç

A:

Q: Find the derivative of function.

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: (x2-3) Cx²+ 2) S dx J3xx3

A:

Q: a) z=-x² + y² c) z² = x² + 2y² e) x² + y²-z² = 1 b) z=-x²-2y² d) -x² - y² + z² = 1

A: match the following quadratic surfaces with the following equations (a) z=-x2+y2

Q: d²y 15. If y3 - xy = 5 , then dx2 -2xy В. (3y2-x)3 2xy А. (3y2-x)3 2xy С. (3y2-x)2 D. (3y²-2x)3

A:

Q: dy If = 3x² – 1 and if y= -1 when X=1 then y= dx (A x³ +1 B -x3 +x-1 © x3 – x+1 D x3 - x-1

A:

Q: d²x is dy2 15 If x = (3 2y)5/2 , then 15 А. — A. -15(3 - 2y)1/2 В. 2 (3 2y)1/2 C. - (3 2y)1/2 D.…

A:

Q: C. d. (3x + 2)(3x² + 4x)4 dx,u = 3x² + 4x [TV 7√7x − 1 dx,u = 7x − 1 -

A:

Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с.…

A:

Q: y''-3y+2y=5e^3x,y1=e^x

A:

Q: (²-1) x(2x* – 2x² +1) dx is equal to 2x* - 2x² +1) x(x² –1) (2x* – 2x² +1) (b) (2x* – 2x² +1) (2x* –…

A: The given problem is to integrate the given function. We can't use standard formulas to solve so we…

Q: 2. y" - 3y' +2y = e4x + 6x3 – 2+ 3sin(4x)

A: The given differential equation is  y" - 3y' +2y = e4x + 6x3 - 2 + 3sin(4x)

Q: Find d3y dx3 of y = x³e-x

A:

Q: 3X ジ+ 5y+4 -2X -3e+キe मै -29 +8 ジ x ーズ %3D 12)

A:

Q: 3. 5x + 5y = 15 2r - 2y = 10 Y-exie X-8xis 3. 2. -2 -4 -5

A:

Q: A 2 In Ix-11+C B 2 In 1x-11-2+C S dx 2x (x-1)² C¹In Ix-11+C с D 2 In 1x-11+2+C

A:

Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢…

A:

Q: (D³ – D)y = 4e * + 3e2x X. a. Ур а. у, — 2хе * + 2xe+ +-e e2x b. Yp = 2xe +e2* X- 3 2x C. Yp = 3xe 2…

A:

Q: 2(5x-3)+2x=D2 (x+4)

A:

Q: 2. f (x²-16) ²/2 dx x3

A:

Q: x²-12px%=D6p(x-22 %3D 2.2.1 5a2 -2'5 b2 -5(a²-5b²) ー4 (at2) (x +2) %3D 2.2.2

A:

Q: - فم( (x² – 4)²dx 6. -2 10x4 x3 1 + 15Vx3 – 7) dx 7. 2 3 dx 2x° + x4 8. 1 | (2x + 1)(x – 1) dæ - 9.…

A:

Q: 5. If x-2ry+ 3y² = 8, then dx %3D 8+ 2y -2x (A) 6y-2x Зу - х (В) y-x (C) 113

A:

Q: Z-y+2x = 5 X+y-z = -2 2y + 2z -x =1 What is the value of x?

A: Explanation of the answer is as follows

Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Q: 2) J (2x2 - 6x) dx B) - x3 - 3x2 +C + C D)를3-3x2+C + 3x + C

A: Here is the problem of integration  ∫( 2x² - 6x)dx  2x³/3 - 6x²/2 + C  2x³/3 - 3x² + C  So D is…

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

A: