4. (D² – 5D + 4)y = 4x

Q: dy y² tion + dx x² है || Y 8

A:

Q: 1. If y = 3x + 2x3 - 3x + 2 find Set A. d'y/dx?

A:

Q: d²y 5. If y = 4sinx + x²cosx + 4x then find dx2

A:

Q: السؤال الرابع: جد ناتج احد التكاملين التالي ين xe* dxdy ر 4-x² 8-2y2-2x? 1- s8-zy²-2x²,

A: Given: The given integral  is 1)∫-10∫-1y2x2exydxdy 2) ∫02∫04-x2∫08-2y2-2x2x dzdydx

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

A:

Q: d²y dy – 4 + 4y = e2t.t dt2 dt

A: our objective is to solve the differential equation

Q: dy Find if y 3e2 3z 一山 %3D O -9e 2

A: Using chain rule of differentiation.

Q: find d^2y/dx^2 if y= 17/ x^3

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Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: 1. (D³ + 3D² - 4D - 12)y = 0 2. - d'x 19+ 30 = 0 dt3 dt 3. (4D4 - 8D³ - 7D² + 11D + 6)y = 0

A: 1). From the given differential equation; D3+3D2-4D-12y=0 So, The auxiliary equation is:…

Q: -12 XY and y=-S whenxe4

A:

Q: Evaluate the integrals

A: To evaluate, ∫01∫03-3x∫03-3x-ydzdydx

Q: (4x-3) find dy/dх y = (2х-7)6

A:

Q: calculate d2y/dx2 when y=-3x2+2x

A: . Given y=3x2+2xwe find d2ydx2

Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

A:

Q: B: Find dy /dx 4x5-5x+2x3 2- y = x2

A: We have to find the derivative dy/dx.

Q: - 15x + 14x +2 dy DA. dx - 30 – 2x = dy O B. dx 15x + 14 +2 - dy D C. = - 30x - 2x2

A: we have to find the derivative of y=-15x3+14x+2x

Q: Calculate (ay² + y) dy dæ. 3.

A: We use the properties of integrals to evaluate the given integral.

Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: How I show that if Y=ax^2 that (d/dx)=2ax(d/dY)?

A: The given expression is y=ax2.In order to prove the given expression, use the following definition.

Q: Find dy if y= (4x+3)/(x2+6)

A: Quotient rule for derivative: ddxuv=vdu-udvv2

Q: calculate d2y/dx2 when y=0.4x-0.3

A: use this formula:

Q: dy 34. = ty² +3t²y with y(-1) = 2 %3D dt

A:

Q: * dy -a 2. 2xydx 2) yy +36 X =

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

Q: (4) (b) 10tsin(5t²- n/4)dt (4) (c) S 12(x³ + 2)ex¹+8x dx

A: We have to evaluate the integrals.

Q: d²y B Show whether y = Ax² + · x2 is a solution for x2- dy + x dx + 3y = 0 or not. dx2

A: If y=Ax2+Bx2 is a solution for x2d2ydx2+xdydx+3y=0...(1) then it satisfies equation (1).

Q: x² – 4y² dy 29, dx - 2хy ||

A:

Q: 4) If y = 2x2- 3x, then dy at (-1, 5) equals: dx a) O -7 b) О -1 c) O 21 d) O 1

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Q: find dy/dt. y = 3t (2t2 - 5)4

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Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find…

Q: b) f(x, y)=-2x². + 8x − 3y² + 24y + 7

A:

Q: If y = x3 – 2x2 + 3x – 1, then d2y/dx2 is equal to

A: topic - derivatives

Q: Н. W.: -1/3 6dx 2. V9x2+ 1 c2/3 dy

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

Q: Let y = 4**-2x+3. Find d²y - dx2°

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Q: calculate  d2y dx2 . y = −  4/ x2

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Q: Q5: 6y²dx-x(2x² + y)dy == 0 (Linear BernoullLeq.)

A:

Q: 18. (9x D² + 3xD + I)y = 0, y(1) = 1, y'(1) = 0

A:

Q: In x y of y = 3

A: Find your answer below

Q: Vy² – 25 dy y3

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 3 If y=/x²5x²_36 x²_3x²+¥x-12 | shuw that dy dx4 24

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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: Evaluate the following integrals

A: The given integrals are,

Q: />(4y++ +9) * dy 12y2-

A:

Q: calculate d2y/dx2 when y=-2/x2

A: Given: y=-2x2

Q: 11. Find y'if y = 2x + Vx* – 9x+3

A:

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

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Q: 18.t2y′′−4ty′+6y=0,t>0;y1(t)=t2

A:

Q: dx Vx²-4x-7 7. dy y2-8y+5

A: