Find the particular solution of y' = x^3 - 2xy when x = 1, = 1. O 2y = (x + 3)^0.5 In(2x+3) O 2y = 2x- 1 + 2e"(-x*2) O 2y = (2x + 3)^0.5 In(2x+3) O 2y = x^2 -1 + 2e^(1-x*2)

Q: Simplify: x + 1 x - 1 x - 1 x + 1 x - 1 x + 1' x + 1 x - 1

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Q: By cardanos method x^3-6x^2-6=0 is r1=y-a/3 and a=-6 find y

A: Given, x3-6x2-6=0 where x=y-a3 and a=-6. We have to find y.

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

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Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

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Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

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Q: FInd the implicity differentiate x^2- 4xy + y^2= 4

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Q: 3. Divide x+4x-3x-2 by X-2) then divide if CX-2) isa factor of x² t4x-3y-2 why?

A: We have to divide (x3 + 4x2 - 3x - 2) by (x - 2)  Then ,

Q: How many solutions does x^2+bx=c have if c< -(b/2)^2?

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Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: 5x^2−3x−8 has roots at x=

A: Consider the quadratic equation To find - roots

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

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

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

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Q: find general solution of (x^2 +y^2 +z^2)p +(x^2 +y^2 -xz)q = z(x+y)

A: Given equation is(x2+y2+z2)p+(x2+y2-xz)q=z(x+y)

Q: x 3y'''- x 2y'' + 2xy' - 2y = x3

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Q: Evaluate (2x2 - 7x) e 5×dx. 1 1 S(2x2 - 7x) e 2 5x dx = 5x e 343 +C 49 (Use C as an arbitrary…

A: The given integral is: ∫(2x2-7x)e5xdx We use integration by parts by integrate it. ∫u v dx=u∫v…

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Q: solve y′′+2y′+y=5t^2 using the Method of Undetermined Coefficients

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Q: (2x - 7x - 1) - (-2x + 3x- 4) Subtract 5x + 2x -1 from 4x +3

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Q: Prove that equation 2x ^2 y - y^3 + xz^2 = 40 has a positive integer solution. Prove by finding one…

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Q: Solve the following equations  6x2 + 7x - 3 = 0

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Q: graph f(x)=16x-2x^3 on [-4,5] then shade between f(x) and the x-axis and write the integral formula

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Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

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Q: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

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Q: got y=x^3In(x), but it says to write it in y=mx+b form so im not sure if that's supposed to make it…

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Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

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Q: Find the solution. dy x+5y=2x?y+ dx

A: We have to solve the given differential equation.