11. In the function y = 3x2 - 3, y is replaced by y and then y is replaced with y +2 ; the new equation in simplest form would be Oy = 6a2 - 8 Oy =202 – 5 Oy = 6x2 - 5 Oy = 3x2 – 8 -

Q: 21. Кх, у) 2х -у ys 4x + 6 5 * 4y s 7 2r + ys7 бу X-6y z 10

A: Step-1 f(x,y) = 2x-y            y ≤ 4x+6 ⇒ 4x-y ≥-6            x+4y ≤ 7           2x+y ≤ 7…

Q: Which of the following is a particular solution of the equation y"+y'+7y=4cos2x? O a.…

A:

Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁e-²x + De4x

A: Given  y=C1e-2x+De4x

Q: 9. Solve d²x dt² + 4x + 5y = 1²; d²y dt² + 5x + 4y = t +1.

A:

Q: Show that the relation y^2 - x^3 + 8 = 0 implicitly defines a solution to the nonlinear equation…

A: The given data is: y2-x3+8=0

Q: 2r+1 h (x) = 4x-I o h' (x) = (x) 14 4r+2 o h' (x) = x+2 4x-I o h' (x) = x+1 4x-2 O h' (x) = x+4 2r-1

A:

Q: If it is known that L {y'' (t)} = -15s+24 with y(0) = -3 and y'(0) = 6, then it can be ensured that:

A: The given problem is to find the Laplace of y(t) from given info, given Laplace of y"(t) =-15s+24…

Q: - a°y°, show that fæy = fyx. 85 Problem - 24: Given f(x, y) =

A: Solve the following

Q: Give a particular solution for y"– 2y' + y = ; ex 1+x2

A:

Q: Suppose ay″+by′+cy=0 with y(0)=d and y′(0)=k has a general solution y=5e^(3x)−xe^(3x).   What are…

A:

Q: 1. Eliminate the arbitrary constants on the given equation: y = C1 + C2e¯ -2x 2 Eliminato

A: Given

Q: Find the general solution for the homogenous equation of y′′ − y′ − y = 0.

A:

Q: 0 Xツ=) X-プ=0 の X+1y =2 X-ッツ=-) の 3×+7ソ-32=2 2x+.5y +Z = -4 2x +6ytl02 = } @ 2x +y - 2 2=10 3×+リ +2ス=…

A:

Q: . Find the general solution of (³ + 2y*)y' = 3ya² in implicit form f(x,y) = c. When y(0) = 1, what…

A: We have given differential equation  x3+2y4y'=3yx2…

Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

A:

Q: Obtain the general solution. Use homogenous functions for this problem. (2x°y – xy² + y³)dx - (2x³ -…

A: on solving this equation we will convert ist in homogeneous function form that is y/x form than we…

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

A:

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: Solve: y" + 4y" + 29y' = 0 O y = C1 + C2e5ª cos2x + C3e5" sin2x -2а O y = C1 + C2e¬2ª cos5x + C3e¬2®…

A: The given equation is y'''+4y''+29y'=0 First write the auxiliary equation and then solve it to…

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: Give a particular solution for y" – 2y' + y = ex 1+x2

A:

Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

A:

Q: Solve du a²u k xe (0, L), t>0 ôu (0.1)- ĉu (L,t) = 0 ди (0,1): Əx 87x - 3 сos L 3n x u(x,0) =…

A: Given: The given heat equation is ∂u∂t=k∂2u∂x2, x∈0,L,t>0. ∂u∂x(0,t)=∂u∂x(L,t)=0

Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

A:

Q: 1. Eliminate the arbitrary constants in the equation given by: (x- a)(y – b) = 1 |

A:

Q: 2: Find the general solution of ODE: x*y(3). 3x²y(2)+ 6xy(1)-6y= x*. Inx

A:

Q: Show that y = - In x + 3x - 5 is a solution of y" -=0. Use y = - Inx+3x – 5 to find y' and y". y' =O

A:

Q: find the (a) domain and (b) range

A:

Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: Мaxіmize Z — 4х — 10у Subject to х — 4y24 2х — у s 2 x >0 y 20

A: The problem is: Maximize Z=4x-10y subject to  x-4y≥4....(1)2x-y≤2....(2)x, y≥0 We will the given LPP…

Q: 4y" + 2y' + 5y = e=t y(0) = –1 y'(0) = 0

A:

Q: 5- Find the particular solution for: 2e2x – y = xy', x = 1 when y = 6 %3D

A:

Q: D. In each of Problems 12 through 15, eliminate the arbitrary constant using the methe you're…

A:

Q: (4) B/ If Ø = (x³y²z) and A = 2xz 1-3y2j+ 3xy²k Find ?у ?х the point (2, -1, 3)? at

A: Given:        ϕ=x3y2z         A=2xzi^-3y2j^+3xy2k^         ϕA=x3y2z2xzi^-3y2j^+3xy2k^…

Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

A:

Q: 4 Solve the following y + xy = xy 01+y³e³²/2 = Ce³z² /2 01-³e³/2 = Ce³²/2 01-y³ = Cy³e³²/2 01+y³ =…

A:

Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: 9 2. If fS(x)dx= 37 and g(x)dx=16, = 16, find [2f(x)+3g(x) ]dx- %3D 0.

A:

Q: 1) If h(x) = x³ +1, find h-'(x). (A) h-'(x) = 3+ (x +2)³ (B) h-(x) = Vx – 1 (C) h-(x) = 2r³ – 3 (D)…

A:

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

A:

Q: 14. Solve the problems by carrying out the Conjugate Gradient Method by hand. JI 1 -1 4 1 u -3 (а)…

A:

Q: Find the equation of a line parallel to x = -8+ 2y that passes through the point (8, –2). Oy = -x –…

A:

Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

A:

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1).

A: SINCE YOU HAVE ASK MULTIPAL QUESTION, SO WE WILL ANSWRING ONLY FIRST QUESTION.

Q: 1. Solve the equation on the interval 0s0<2x. 4sin 2e-3=0 O A. 3'3 元 5元 B. 6 6 I 5x 7 11x С. 6 6 t…

A:

Q: Find the general solution of y" + 2y=ex +2.

A: The Auxiliary equation is D2+2=0 solve for D Therefore  D=±-2=±2i Therefore the solution is…