y = e3x-2y +x² . e 2y

Q: b) sy- 7y-12 dy y(y+2)(y-3) 4y² – 7y-12 dy

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Q: y4 + y² – 1 dy y3 + y

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Q: 2. (D2 - 5D + 6)y = 2 e*. 3. (D2 - 4D + 4)y = e*. |

A:

Q: y= e^7x  y`(0)=?

A:

Q: c2 c4-x² xe²y 2. dy dx 4-y

A:

Q: (x-h)² , (y-k)² ルーん =1 a² b²

A: We have to determine the graph of given equation.

Q: eliminate arbitrary constant, y=c^2t^2

A: This question is based on differentiating equation to eliminate arbitrary constant c.

Q: y= (2xy + 3x2)ē+ (x² – 2yz + 2y)ē, – (e² + y²)e,

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Q: (2x÷y)" (v÷x)' 4

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Q: -. (D² +4D+4)y=-x*e y =-x³e

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Q: Sx, y) = 2r - 3y²

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

A:

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: 2x e y = 2x y = (3x² – x).(*2) 5x+2 y =

A: Here we have to find the derivative of the given two functions.  In first function we use chain rule…

Q: (e) y"+4y' = -4y %3D

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Q: y" – 3y + 2y = e5a

A:

Q: 2 X 2.(D²-4D +4)y = x

A: find find its auxilary equation then find its complementary solution then find particular solution…

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

A: Given,

Q: (y²-9)y' + e =t, y(2) = 2

A: y(t)2 -9y'(t) + e-y(t) = t2 , y(2) = 2                     first order nonlinear…

Q: y = C¡e e-2= + Cze³* + C2e%

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Q: y=e−x3

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Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: x³-y²+z³ = 24.

A: F( x,y,z) = exyz f(x) = ∇f = (yzexyz , xz exyz, xy exyz ) λ∇g =  g(x) = 3x2 , g(y) = -3y2 , g(z) =…

Q: 3x' - y = 2t; x' + y' - y = 0; x(0) = y(0) = 0

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Q: y"' + 3y" + 3y' + y = 30 e-*

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Q: y"-2y'+y= x² –1

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Q: (x – a)² +y² = a²

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Q: y" + 6y 2+e 1x 二

A:

Q: 1- (D² – 2 D + 1)y = 2x + 2

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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

A:

Q: c) y' - 2y = -x²y², y(1) = 5 2 X

A: Given: y'-2yx=-x2y2, y1=52. We have to find the solution to the given differential equation. If the…

Q: y-z = 1 3z = 2 If possible,

A:

Q: 20. y"-4y + 3y = x; y1 = e

A:

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

A:

Q: y"-2y'+y = e* Inxr

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

Q: Differentiate y = [e2x + (x + 1n x)3]4.

A: Given function is y=e2x+x+lnx34. Power rule of differentiation states that: ddxxn=nxn-1 Chain rule…

Q: Find the solution. dy x-+5y=2x3y4 dx A y = -x+Cx13 15 6. -2-cx 15 23 B y = CX x²+cx 15 y = -

A: Given differential equation is xdydx + 5y = 2x2y4

Q: y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0

A:

Q: c) rx+qx-d3 ge (e) zx 5g(2x-c)

A: Use basic algebra

Q: xy' + (1-2x²)y=x°e*^2 solution=?

A:

Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

A:

Q: Solve y" + 3y" – 3y' – y = x + e".

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Q: y'e +x ア-2pe 1/

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Q: e3x (D³ – 3D² + 2D)y 1+ex

A: The given question can be solved as shown in step2.

Q: x+y=D4 2. x-y%3D6

A: Given that, There are two equation following, x + y = 4…

Q: ý -2y -4y +y = e 3시

A: In the question it is asked to calculate the solution of 3rd order polynomial…