Find f4(x), given f(x) = 5x° -4x-2x+ 1. O A. 400x+8 B. 600x C. 300x D. 400x+8

Q: Find the solution of the DE using variation of Parameters y''' - 3y'' + 3y = (ex/x)

A: The given problem is to find the solution of differential equation using method of variation of…

Q: nd the general Solution of the tfferential equation. (x+2y-1)dx+(3x (3x+by)dy = C

A: The differential equation is given as , x+2y-1dx+3x+6ydy=0. Simplify the differential equation,…

Q: H.w-2 Solue! ブェーメー mx +C to Q)(x*+メ-ツ)dx+ xdy =c 一

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

Q: Find the Particular solution of the ODE d²y dy - 62-7y = -9e-2x, at y(0) = -2 and ỹ(0) = –13 dx2 dx

A: To find The particular solution of the given ODE.

Q: (c) -7x+12x = 2 given that at t 0, x 1 and i 5

A:

Q: An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the…

A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

Q: dw 2+2 (B) Given w-f(z) 3D to find dx

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Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

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Q: Find y = f(x) given d²y dx² = 5x² + 2

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Q: 2. Solve dx2 d²y for x = u? + 1 and y = 3u3 – 3u in terms of the parameter u. -

A: Given query is to find indicated derivative.

Q: B. Solve the followina equation using the dete 3. 2y(x2 -y + x) dx + (x2- 2y) dy = 0

A: Given,                  2y(x2-y+x)dx+(x2-2y)dy=0

Q: Q2/ if y = Jsec3 /sin+Vx+ x² 4. find y'

A:

Q: Find the general solution of using the method of variation of parameters. d²y dy 2- - 42+ 2y = xe 2x…

A: Given,2y"-4y'+2y=xe2xComplementary SolutionAuxiliary Equation is 2m2-4m+2=0⇒m2-2m+1=0⇒m-12=0⇒m= 1 ,…

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

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Q: ƒ (x, y) = ln (√√x²y³) f

A:

Q: 3. Is y(x) = C,sin2x + C2cos2x, where C1 and C2are arbitrary constants, a solution of y" + 4y = 0?

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Q: Find the general solution of the followin d² y equation 5 + 4y = 8 +5. dx2 dx

A: General solution is sum of particular integral and complimentary function.

Q: 2ay" = 17 when t=2. y' 11 If x=Arctant3, y=V1+r, find the value of a if A2/2 B-V2 =2/2

A: NOTE: Refresh your page if you can't see any equations. . substitute the given value of t

Q: Find the general solution of the equation xy' = ky that is valid for x > 0.

A: We have to find y(x) for this equation which is valid for x>0. We use integration to solve this…

Q: 4y"-y=e^x/2+6 consider the following DE to be solved by variation of parameters

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Q: (x + 2y – 1)dx + 3(x + 2y)dy = 0

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Q: Q2: find the general solution: (D* - DD')z = (x² – 2y)e" + sin (2x – y) •2

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Q: Find the general solution to the DE using the method of Variation of Parameters 8 y" – 4y = e2x + 1

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Q: Q16// find the general solution (cosx)y²dx + 2ysinx dy = 0

A: I

Q: 2x-1 dy if y=f and f(x)=sinx²,find X

A: see 2nd step

Q: Find the general solution using the method of undetermined coefficients. dx +7x=8e° dt -41

A: Answer

Q: e + xy + 4x = 1 ise y"(0) =?

A: ey+xy+4x=1 Differentiating with respect to x, we get…

Q: Q2: Find for the following functions: - dx 1) y = Vx + 8z – 2x X, -

A: Explanation and solutions is given below....

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: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: c) Show that y(x) = 1+ax+bx², where a and b are non-zero, is a solution to Laguerre's equation, d²y…

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Q: Find the general solution of (D4+ 50D2+ 625) y=0 (A y=c,cos5x + c,sin5x +czxcos5x + c „xsin5x B)…

A: Let's find.

Q: Use variation of parameters to pind Yr F -2xy' +ay: -12 x) given that = x and Yx art solutions of…

A: Let's find.

Q: Find f(t). e s2 + 1

A:

Q: The equation f(x)= x² -e* has a solution [-1, 1]. With po= -1 p1=1, calculate p2 using the the…

A: The secant method uses the formula: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iteration. The…

Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

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Q: Find dydt at x=3 if y=4x^2−4 and dxdt=3

A: Given  Differentiating with respect to x, we get

Q: The answer for x is correct but the answer for dy is wrong.

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Q: Find dy for the given values of x and ∆x. ; y = 2x3 - 5x; x = -2, ∆x = 0.1

A: Given y=2x3-5xx=-2∆x=0.1 To find dy

Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

A:

Q: find dfor xe(t>a)는 and y- (t43)로

A: We have, x=t2+352, y=t2+332 Therefore,  x15=t2+312            ⋯⋯1y13=t2+312            ⋯⋯2

Q: Find d²y/dx² for the following equations: e) xy + y² = 1

A: Given equation is xy+y2=1 find d2ydx2

Q: Solve the follawing systen. 2 x, - 5x - cost dt dx2 b) by using the method of unde termined…

A: Given system is dx1dt=2x1-5x2-costdx2dt=x1-2x2+sint First, let us solve corresponding homogenous…

Q: Find, the, general solution of 2 dy + y = xe"Inx. dx²

A: Given the differential equation           y''-2y'+y=xexlnx Find the general solution.

Q: dx 2. = 3x. dt

A: The given differential equation is                                                    dxdt=3x…

Q: If f(x) dx = 10 and F(x) dx = –7, find ſ* f(x) dxr. %3D relugte:

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Q: Find d²y/dx² for the following equations: e) xy +y2 = 1

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Q: -3x Find an equation of tangent Oa y=21x+36 Oby=x-36 Oc. "у-21х-36 d. y%3Dx+36

A: