h.w y(4)+y(3)-7y- ý+6y 0

Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

A:

Q: Find a particular solution to y" + 8y' + 16y : -7.5e 4t t² +1 Yp =

A:

Q: Find a particular solution to： y''+5y'+4y=10te^(4t) y(p)=?

A:

Q: If y(v) = V4+ a*dz then y'(v) =|

A:

Q: Bray?) da (y ) (x+zy+3)da - (2x-4+1)dy =0

A:

Q: dy Find if y 3e2 3z 一山 %3D O -9e 2

A: Using chain rule of differentiation.

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: 3/2 3. fL dydx yz 4. Nz ds dy dz

A: We have to solve

Q: (x.yız) (x,9e)x4か t. 22 P( 3-1,0) けこくりん)2

A:

Q: Given a – - 2y² = 9y , what is dy 2 dr dy dz 9+4y dy 3z 4y-9 dy dr 322 9-4y dy dr 9.

A:

Q: w + x + y + z = 13 2w + 3x - z =- 1 3w + 4x + y + 2z = 10 w + 2x - y + z = 1

A:

Q: (b) x' = -x – 3y + 2z + yz, y' = 3x – y – z + xz, z' = -2x + y – z + xy.

A: As per your query the solution of the part (b) has been done in detail in the following steps.

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: 2y dr - (x- y) dy = 0, when x= 4, y = 4. O x-y= x O x+y = 4y Ox+4y = x D x- y = 4

A: We will solve it by converting into linear differential equation

Q: 1. y = z|+3 2. y%3D 피-3 A. C. 3. y = 3z| 4. y = -3z| E. 5. y = z| D. 6. y = 7. y = z- 3 G. H. 8. y =…

A:

Q: x' = 3x - 4y + z+t y' = x-6z +1? z' = 3y- 5z +t3 x' y' y z' + II > N

A:

Q: z(y" – y') – (y" – y) = 0, 1 y(0) = 1, y'(0) = 3.

A:

Q: If t²y" – ty – y = 0 ,y(1) = 3 and y'(1) = -1, then y(4) = . . . %3D

A: Given differential equation, t2y''-12ty'-y=0,y1=3,y'1=-1 Find the value of y4.

Q: d/dx [x/(x^2 + y^2) ] = * O [(y^2 + x^2)/(x^2 + y^2)^2 ] O -[(y^2 +x^2)/(x^2 + y^2)^2 ]…

A:

Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

A:

Q: Solve the system of equations.

A: Solution; Consider the given system of equations; x + 0.y -z + w = 22x + y + 0.z -2w = 120.x + 3y +…

Q: 1. If y? = 10x , then dx2 d²y 5x А. 2ху 2y 5ху С. D. 2x 2 B.

A:

Q: c. y" – 4y' + 3y = 6t – 8 ; where y(0) = 0, y'(0) = 0 %3D

A:

Q: y = C + Cze-$t O y" + 5y = 0 O y" + y = 0 O y" - 5y = 0 O y" - y = 0

A:

Q: Match the equations listed in parts (a) – (d) to the graphs in the accompanying figure.

A: Given: a) y=(x-1)2-4  b) y=(x-2)2+2c) y=(x+2)2+2d) y=(x+3)2-2

Q: Evaluate -5у-5 dy 31. Jv+2y-4

A:

Q: 4yy" + 2y' = 0 = y' =? A) y'= -In B) y' = In c) y' = 2n(cy) D) y' =-In E) = 4 1n

A: Given that 4yy"+2y'=0

Q: Find a particular solution to y"+6y +9y = 5e-3t t2 +1 Yp=

A:

Q: y"(x)-4y'(x)+4y(x) = eax,a E R %3D

A: Given Let’s plug y'=D Hence, Auxiliary equation becomes Complimentary function will be

Q: b c and d please. thank you.

A:

Q: d) xty"- x'y'-(y') = 0, y(1) = 2, y'(1) = 1 %3D

A:

Q: 3ydx – xdy = 2y4 dy, y(0) = 1 a. (11x – 2y^)3 – 8y = 0 b. (11x – 2y“)3 + 8y = 0 c. (11x +2y“)3 – 8y…

A:

Q: The general solution for the DE 2x³ydx + (x4+y4)dy=D0 is given by  a)3x4y2+y6 =c b)3x4y2+y5 =c…

A:

Q: 5-1. y" - 4y + 4y = t³e²t, y(0) = 0, y'(0) = 0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: f(x, y) = x³ – 2ry + 27y³.

A: Given: f(x,y)=x3-2xy+27y3 To find: Local extrema and saddle point of the function.

Q: 17. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 0

A:

Q: O A. y= x+1 y= 2x+2 B. y= 2x+1 y= x+2 O c. y= -x+1 y= -2x+2

A:

Q: is: -2-z A) II -2(y – 2) dy d.x 2 B) -2r(y – 2) dy dr c2-z C) (-2(1+ (у — 2)?)y- 2) + у) dr dy 2-2…

A:

Q: + y²) dæ – x (a² – y²) dy = 0 r (x2 - y? dr + (x2 + 3ry + 4y) dy = 0

A:

Q: Find y". y = 6+ 8 2 3 O A. 6+ x2 X 24 2)2 16 3 O B. 6 + - X 2 6 + - X x2 48 2 3 16 6 + x3 OC. 6 + x4…

A:

Q: (3x²y + 2ry +y) de + (x² + y³) dy = 0

A:

Q: 6y²dx – x(2x³ +y)dy = 0 a. IF 3D у з b. IF = y C. IF = y2 d. IF = y2

A:

Q: p = 2x + 4y + 6z x + 2y > 200 3y + 4z 0, y > 0, z 2 0

A:

Q: 10. (9x² +y – 1) – (4y – x)y' = 0, y(1) = 1 - In each of D

A:

Q: d. VxVy, Q(x + 1,y/2) e. 3xVy3z, P(x,y,z)-4 > 0

A:

Q: (a) z'y" - ay + y = 2r, a> 0 (b) ry"- 4ry + 6y = a, z>0

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 18.t2y′′−4ty′+6y=0,t>0;y1(t)=t2

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.