19.(D³ + 36D)²y = 0 %3D

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: what is the Solution ofequation とdx +(2Xlogk - メy)dyニ。

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Q: (18 (D³ + 1)y = 0 %3D

A: Due to guidelines we can solve one question at a time.

Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

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Q: rx dydx Vx2+y2 0.

A: We solve this double integration problem by substitution method as given below in solution

Q: dy :- 15x²y and y = 4 when x = -4 dx

A: To solve the initial value problem  dydx = -15 x2ydyy = -15x2 dx

Q: Q2/ Evaluate: 16 c2 y dx dy 113+x9

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Q: d'y 4x dx2 dy +6- + у %3D0 dx

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Q: dy If y = 3e5 . Find dz

A: Given query is to find the derivative of the expression.

Q: 5. (D4 – 2D3 + 2D² – 2D + 1)y = 0 |

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Q: d Differentiate (-16x-1 +4x + 2) when x dx

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Q: d (3y? + 4y +2 Find dy y

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Q: السؤال الأول: جد باستخدام التحويل x = V5rcos(0( (0)2rsin , y = ناتج التكامل * dxdy е 5

A: We have to use proper integration substitution.

Q: d*y + 2 dx3 d³y , d²y 8. dx4 = 0 dx2

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Q: dy 2×ゴー4コ %3D ブメ

A: Since you have posted multiple questions we will solve only first one for you. If you want a…

Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: calculate d2y/dx2 when y=-3x2+2x

A: . Given y=3x2+2xwe find d2ydx2

Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: EX. (D* – 5D³ + 6D² + 4D – 8)y = 0

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Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: Find d² y dx² for x³ + y³ = 2 43

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Q: r4 2V dx Vx 15. 1

A: The integral is given by,

Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: „ 2x2-5x if y= dx dy Find 5x3 +5

A: y = ( 2x2 - 5x ) / ( 5x3 + 5 ) y'=?

Q: d?y Calculate dx2 y = 4x0.8 – 7x d?y dx2

A: Given : y = 4x0.8-7x

Q: dy 9. x2-y = Jx2 – y². – y?.

A: Given:xdydx-y=x2-y2

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

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Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the…

Q: d'y Calculate dx2 y = x2

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Q: That sove dy dz² -244 %D 2

A: Given,           y3-y=2x

Q: d²y + y = 0 dx2

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Q: d’y d²y D. = 3e* +4x2 dx dx2

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

Q: d4y Q4\ b) Find : Y=3X³-4X²+7X+10 dx4

A: Given: Y=3x3-4x2+7x+10

Q: (D³ – 4D² + 4D)y = 0 (4D² – 6D + 1)y = 0 %3D

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Q: dy Q5/ a) Find 2 if y = esin (2x) dx

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Q: 2. (D5 –D – 2D³ + 18D² –31D+15)y =0

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Q: d²y 10 + 9y = 5t, y(0 dx

A: Laplace solution: d2ydx2-10dydx+9y=5ty(0)=-1, y'(0)=2Taking Laplace on both sides we…

Q: d'y Calculate dx2 y = -5x2 + 7x %3D d?y dx2 %3D

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: d*y d³y - 4· dx3 +7 d²y 14 dx4 dx2

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Q: (9y)° D92° E (5x - 7) 36°

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Q: 1. (D* + D' – 7D® + D° + 22D* – 22D³ – 20D² + 40D – 16) y = 0

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Q: dy 3x - 4 81. if y = %3D dx 12r²

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Q: (D³ – 3D² + 4) y = 0

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Q: 1. (D² + 4D + 5)y = 50x + 13 e3x

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Q: dx Vx²-4x-7 7. dy y2-8y+5

A: