2m(t+2) b) y = -2cos +3 4

Q: (D² +D- 1)² y = 0 , when x = y = 0 , y' = y" = 1, y" = -1 %3D

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Q: d = V(22 – a1)° + (42 – Y1)² %3D - - (8, -3) and (-5, 6)

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Q: 3. (D3-2D2+D-2) y=0 4. (4D3+28D²+61D+37) y=0

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Q: d) (D3 – 3D2 + 4D – 2)y = e* -

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Q: d. xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2

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Q: y = (x² – 9)8 %3D y = (2a* – 5a² +7)ª 3

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Q: (D² +9)y=sec3x

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Q: d) 2х3у + e2y — 4х + 5x2. e) y = (2x* + 4)*x %3D

A: We have to find the derivative

Q: Q2. (a) dy = (x + y + 3)² (b) 2xy4 = 4x² + 3y?

A: Given that a)dydx=x+y+32 b)2xydydx=4x2+3y2

Q: (Dª + 3D³ – 6D² – 28D – 24)y = 0 -

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Q: Y(2) 16z %3D Z. (2+1) (42-1) (2г—1)

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Q: Q3 المطلوب ایجاد حل المعادلة التفاضلية التالية باستخدام تحويلات لابلاس: y" - 3y' + 2y = 4e2x, where…

A: Given that  The differential equation  y''-3y'+2y=4e^(2x)

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

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Q: := (-2x + y)² – 7, dz y(0) = 0.

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Q: 2 2X-) dy tf2 るメー。 2. Y+2

A: We have to solve the given differential equation.

Q: (D³ -3D* +4D³ -8D² +16),y = 0

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Q: d²y Find d , if you know y = 2x³ ?

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Q: D² + D – 1)²y = 0 ,when x= y= 0 , y' = y''' = 1 , y" = -1

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Q: (D² - 3D + 2)y = 2e¯* +8 Your answer

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Q: (D³ - 3D2 + 9D + 13)y = 0

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Q: m) y" - 2y' +y = x²e*

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Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

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Q: 14. (D - 3D² - 6D + 8) y 3.x = xe

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Q: y2(1+p2)=x+yp what is y?

A: Given data:     The given expression is: y2(1+p2)=x + yp.   The given expression can be written as,

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

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Q: (3) y "'- 2y "– 4y '+8y = 6xe²* %3D

A: Note: " As per our guidelines we will solve only first question . If you want any specific question…

Q: (d) y" – 6y" + 11y' – 6y = e2" (5 – 4x – 3a²)

A: Given  A non homogeneous differential equation in question 2. D.

Q: (D³ – 3D + 2)y = -7 у" - 9y' %3D 27

A: (1).    The given differential equation is: D3-3D+2y=-7

Q: (D² +D-1)²y= 0 ,when x= y= 0, y' = y" = 1 , y" = -1

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Q: 3) Find y"(0), where y = 4x + 2x + 3

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: d. xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2 -

A: first write teh differnetia; equation in standard form and then solve.

Q: y" + 14y' + 49y = -5 e-7x %3D

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Q: 2 D²y+y=secx²

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Q: y' +2y = -x8y5 will be transformed to the follo"

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation…

Q: b) y' - y = 2x3 y(1) = 1 | c) y' -8x3y e2x* y(0) = 2

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Q: 3 (b) (c) 5²8y0. 3x-2y-2=0 2-y-60

A: Given three homogenous linear equation. We have to compute the vector subspace of the solutions of…

Q: (D² – 8D + 16)y = 4e¬v2t, y(0) = -1, y'(0) = 3;

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Q: -x+y = 3 -43-2-1 0 2 3 4 5x %3D4

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Q: 2х — 7у — 9z %3D-16. y +s +t

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Q: Solve the system.Use matrices

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Q: d. xy' – y – 5xª – 3x² + 2x = 0 when x = 1 and y = 2 -

A: It is the linear equation of first order.

Q: (D² – 3D – 4)y = 30e4* -

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Q: 6. (D³ + 2D²)y = 0; when x = 0, y = -3, y' = 0, y" = 12

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Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: S- 2dx X(3(Inx)*+121nx-15)2

A: Use the substitution and make the given integration in standard form than solve .

Q: d) 2x + y+z=2 X - y +z=7 2x + 2y +z= 4

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: y"-y' – 6y = 3x? x – 1 - -

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Q: -18e5t y" – 10y/ + 25y = t² +1 Yp ||

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Q: 9. ydx - 4xdy = y'dy; y(4) = 1 Ans: -y²=

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