(D3 - 5D2 +8D-4)y = e2x, Find Y = Yc - Yp 1 =-=-=x² ₁²x 2_2x 2 a. C. C₁ et + C₂e O d. 2x b. C₁e² + C₁₂e²x + ₂x² + +C,xe 2x -X C₁ c₁₂e-x + C ₁₂e² O e, none -2x 22x 1 2x = x² e ²x 2 -2x Ce-*+Ce +C xe C₂ ง 1 2x +C xe tet зже 2 -2x x ² 2x 1 + —27x²²x

Q: 2x+3 a) S; dx x2-3x+2

A: We integrate the following by using substitution rules and factories the denominator.

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

A:

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

A:

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

A:

Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

A:

Q: 3-(2x-45y)dx +(5x+33%}) Ayzo

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation…

Q: (х + 3)2 dx. J V40 – 6x - x²

A: Evaluate ∫x+3240-6x-x2dx=?

Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

A:

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: sx2-9x-6 dx x3-2x2- 4xt8

A:

Q: 2 D²y+y=secx²

A:

Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…

Q: y" – 10y + 25y = e5x

A:

Q: Evaluate V1-x-dx A. --(x+xvI– x-) +C B. (x+xV1%3=x) +C c. (x+xv1+x-) +C D. -(x-xVT-x-) + C xv1-x)+ C

A: Find your answer below

Q: Compute ď² dz² -(-x² − 3x² − x).

A: use differentiation of polynomial function.

Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

A:

Q: dx 2. Evaluate -2 v2x2 + 8x + 10

A:

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A:

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)