3. y' = 5y + e-2*y-2 y(0) = 2 У (0) - 4. хуу' + 4x2 + у? 3D 0 о у(2) 3 —7

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

A:

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

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Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: The point to which the origin should be shifted in order to eliminate x and y terms in the equation…

A: When origin is shifted from (0, 0) to (h, k), the point P(x, y) changes to P'(x-h, y-k) .

Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2…

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Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: e y" – 2y' + y = 1+ r² 2y' + у 3 + Зе* 1 + r2

A: Given,

Q: х+2)y"-(2х+5)у'+2у%3(x+1)е^х

A:

Q: YA 7) 3 X+4 3 y>}x-1 2 432 -2 -1 -4 2 3 4 -2 -3 4 -5

A: The given inequality is: y≤-34x+4y>12x-1

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: 7. (y" + 4y) = 4e3x

A:

Q: Convert y = (x– 3)' + 6 to standard format. %3D

A: The vertex form of a quadratic equation is y=a(x-h)2+k , where, (h,k) is the vertex. The standard…

Q: y" – 6y' + 9y = 4e* %3D

A: Given, y"-6y'+9y=4ex To solve the above differential equation.

Q: (2z–2z+5) xp- z(z²–2z+5)

A:

Q: 36x'y + 42x1– 24x2y ,3,,3

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Q: Solve for u. (u-6)^(2)=2u^(2)-15u+26 If there is more than one solution, sepa

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Q: 6+(5/(y-2))=(4/(y+1)) Simplify

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Q: 5. y" - 4y = 0 6. y" - 64y = 0

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Q: 2dy Зу-4

A: Use the method of substitution and solve the integration.