- 2 y+1 z-4 = 4 2 -2

Q: z? +2z+3 (z-6)(z² +4)

A:

Q: y"+y' - 2y = x2

A: Solution :-

Q: 1. y -2+ 2.

A:

Q: - 2. (4)y=x'. D² +5D+

A: Given differential equation is, D2+5D+4y=x2.

Q: (a) y=-', X-4 (b) y=- X-5 (c) y=- 2x X-2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 2) y" - y' — 6y = 0. бу

A: Follow the procedure given below.

Q: -4s se (b) L-1{ - } s2 -8s+20

A: Heaviest function is defined by,                               Ht-a=0t<a1t≥a

Q: x + 3y = 5 3x - 2y = -18 x=? y=?

A: We will use the substitution method to solve the given linear equation. First, we isolate one of the…

Q: (c).xv-12-2≦y2

A:

Q: 1) y2 4 5 4 3 -2 -

A:

Q: y" + y' -2y = 3 -6t. y(0) = -1. y'(0) = 0

A:

Q: 1) y" - 36y = 0.

A:

Q: -2 r. -2 |= -5 %3D and

A:

Q: -1-5 V-5•V-10

A: Given Expression can be simplified as shown below

Q: 4) у + () у — ху? y = xy²

A: Solve by using bernaulli's form.

Q: -3(2y-8)-y = 3(y-3)

A: We open the brackets and simplify the equations of both the sides( Left hand side and right hand…

Q: -15x?y5z3 а) 10x*y2z3 а?+3а-18 b) (а+2) (а+2)2 а2-2а-3 2 3 c) (х-1)(х-1) (х-2) (х-1)

A:

Q: y (1, 2) y = 2 x²

A:

Q: 3. y'+7=(-2x+ y)';y(0) = 0

A:

Q: y' = (x2 – 4)(3y + 2), y > 0

A: Separation of variables method:- Differential equations with separable variables are a sort of…

Q: y"-2y'-8y = 0 if y(0) = 3; y'(0) = 6

A:

Q: -3(w + 4) = 4w - 5 %3D

A: To solve the given equation

Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

Q: - 5x- y = 4.7 6. x-0.4y = 10

A: The given equations are -5x-y=4.7x-0.4y=10 Write in the matrix form  -5-11-0.4xy=4.710 this is of…

Q: Simplify. (4y²– 2y-3)+(3y²–5y-4)-(8)²-4y-8)

A: Given :

Q: 6x-3y=4 | 5y-5x=5 | x=?, y=? 1)

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

Q: (b) y" =-6y²y', with y(1) =1 and y'(1) =-2.

A:

Q: Then y'(0) 1- 1 2

A: Here we use Newton's Forward Difference Method :

Q: 3. x = y? ,x = -2y² + 3

A:

Q: (b) y 4 X -2 4 -2 -4 y = 2. 2.

A: Given graph is:   To find the y.

Q: x1/2 + y?/3 = -4y

A: Given: x12+y23=-4y for finding dydx, we differentiate given expression with respect to x

Q: -9 2. They" for y V3x-5

A:

Q: x=3t y=24ヶも 2=3+56 =2+4t, Z = 3+5€ メ-S Z-10 2 2 ニ

A: we have to find the point of intersection of the two lines: L1:x=3t , y=2+4t , z=3+5tL2:…

Q: - 2y +y-0 if y(0) - 3, y (0) 0.

A:

Q: - 4y" – y = e2 + 3

A: We have to solve the following differential equation using variation of parameters method.…

Q: 2. y" – 2y' = –4 y(0) = 0, y'(0) = 4

A:

Q: -4 6 2 y² + 8y + 15 y+3y+5

A: Here we will solve for y,

Q: y”+y’=0; y(0)=-4 , y’(0)=6

A:

Q: - 10y + 25y-0; y (0)-9 y(1)-0

A:

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

A: Given that: y''+4y=0,y0=1,y'0=-1

Q: y' = x² + /x + 1, y(0) = 4.

A: Given: y'=x2+x+1y(0)=4

Q: 2) y/0 - 2y - 8y = 0

A: Given differential equation is. y4-2y''-8y=0 This can also be written as, D4-2D2-8y=0 where D≡ddx…

Q: 1) x(х- 3) - 0 3 А) (3, 0) B) -5 5' D) {2, –4 C) {-3, 0}

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

Q: y" - 10y' +9y = 5t, y(0) = -1 y' (0) = 2

A:

Q: y" + 7y' + 10y = 0, y(0)= -4, y'(0)=2

A: If we have differential equation   where a,b and c are constant real number then assume the solution…

Q: 1. y""-2y" - 15y' = 0

A:

Q: 2. 8a +y= 2 2 +z +y = 4

A: Part 2,

Q: Solve the system.

A: Given: y+4=x2 2x+y=-1 Determine the value of y. y=x2-4

Q: y' = (3x² – e*)/(2y – 5), y(0) = 1

A:

Q: (y + 2)° (y-2)0 (3x-2)9 (7x +2)

A: we know that sum of the opposite side angle  is 180 degree