If y = ex, then y equals 2x (A - 2y В +3 C) none of the given choices - 2x D E

Q: If the general solution of (2x2 – 3y2)y' = 2xy is y“ Iny*| + xª Cy“, what is the value of b? A 1 2…

A: The given equation is; (2x2-3y2)y'=2xy.

Q: If Y(x) = 5x is a particular solution for x'y" + 2y' = h(x) then h(x) = %3D %3D %3D A. 80x* В. 140х*…

A: Given Y(x)=5x4 is particular solution of x2y''+2y'=h(x)....(1)

Q: The particular solution to y"+2y'+y=x is: Select one: a. 2x-1 b. C. 2x-2 O d. X-2 1/2

A: Given:- y''+2y'+y=x.

Q: If y = ex , then y equals 2x (A B none of the given choices - 2x (c 2y D v3

A:

Q: The particular solution to y"+ 2y' +y=x is: Select one: a. X-2 b. C. 2x-1 d. 2x-2 /-

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Q: Determine the solution of the DE below using separation of variables: 2 puntos x'dn + (xy -y) dy =D0…

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Q: The general solution to D. E 2y(4) – y'"" – 2y" + y' = 0 - is given by y(x) =

A: The genaral solution to D.E2y(4)-y'''-2y''+y'=0

Q: The solution of zy'-y = 2x3, y(1) = 3 is (A) y = x+ 2x (B) y = x2 + 2x (C) y = x2 + 3x %3D (D) y =…

A:

Q: If x, y e R satisfy the equation x2+ y2 -4x-2y+5 0 and S (x + ry) then value of is 100

A: Given : x,y∈ℝ satisfies equation x2+y2-4x-2y+5=0 and S=∑r=099x+ry we want to calculate value of S100…

Q: The equation y² = cx constitutes an implicit general solution to the DE: Select one: а. 2yy' = x O…

A: The differential equation corresponding to the general solution y2=cx has to be found out.

Q: The particular solution In (x) = 3x + 4y, y(0) = 0 is A. e³x + 3e-4y = 4 B. 4e3x3e-4y = 3 C. 4e3x +…

A: Topic = Differential equation

Q: The solution of y' e'+V is e-Y = - e'+ c Select one: True O False xam

A:

Q: The solution of the following IVP:y' =y3 x e*, y(0) = 1 Select one: a. y=V4-2 ex2 O b. y=V2-ex? O C.…

A: Given IVP is y'=y3xex2, y0=1 We have to find the solution of the given IVP. Now y'=y3xex2…

Q: Find the general solution of 6y"'+y"-15y'=0 3x 5x A y=c,+c,e 2 +Cze -C, 3x 5x B) 2 y=c,e 2 +c,e 3x…

A: Roots are real and distinct.

Q: Find the general solution to y" +(-1) y' + (- 12) y = 5 e2'. %3D a. None b. 7.e2 t y=c, e3t+c, e4t+…

A: To find  The general solution of the given differential equation.

Q: If y= (4x+ 1)(1 –x)°, then y' = ? A (1- x)²(1+8x) B B (1- x)²(1- 16x) -12(1– x)2 C D None of the…

A: Please refer the attached image for complete solution.

Q: The general solution of y" + 4y' + 4y = 2t +3 is: Select one: а. y = Cq e-2t + C2 t e-21 + 2t +3 b.…

A: The solution is given as

Q: If y = ex , then y equals A none of the given choices - 2x - 2y x3 2x D 2y E x-

A: Let's find.

Q: The solution of ry-y-2r', y(1)-4 is (A) y= a+2z (B) y-z+4zr (C) y =z + 3r (D) y= +3z (E) y-3z+ 1

A:

Q: The general solution to D. E 2y( -y"-2y" +y 0 is given by y(x) = C3 + 4e

A: We have to solve given problem:

Q: The general solution to D. E 2y(4) – y'" - 2y" +y' = 0 is given by y(x) = %3D %3D C1 + Cze + Cze+…

A:

Q: If y = e* , theny equals – 2y A x3 - 2x B 2y 2x D y3 E none of the given choices

A:

Q: 1 If y = ex , then y equals - 2x A y3 - 2y B 2y D none of the given choices 2x E y3

A: we will use logarithm to solve this.

Q: The particular solution to y" + 2y'+y=x is: Select one: a. 2x- 1 b. x-2 C. 2x -2 d.

A: The particular solution is y''+2y'+y=x is:select one:a. 2x-1b. x-2c. 2x-2d.12x

Q: The general solution of y" + 4y' + 4y= 2t + 3 is: Select one: а. y = Cq e-21 + C2 e-21+2t +3 O . y =…

A:

Q: Find the general solution of 6y''+y"-15y'=0_ 3x 5x y=c,x+Cge 2 2 +cze 3x 5x 2 2 B y=c,+cze ? +cze 3x…

A:

Q: If y is the solution of the I.V.P f y" -4 ty' +6 y = 0, y(1)=6, y'(1)= 6, then y(2)=32. Select one:…

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Q: The particular solution to y" + 2y' + y = x is: Select one: а. 2х-2 b. 2х- 1 С. d. X- 2

A:

Q: If y = ex , theny equals - 2x A y3 2x D none of the given choices – 2y E x3

A: Given query is to find the derivative of the expression.

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- x2 y - 2 = 5x + y

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Find the general solution: (x + 2y-1)da- (2x +y-5)dy= 0 %3D OA. (a-y- 2)2 = C(x +y -4) O B. (-y- 2)2…

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Q: If y* = ex , then y equals 2x (A B none of the given choices – 2x y3 - 2y D +3 2y E

A:

Q: The general solution for the DE 2x³ydx + (x4+y4)dy=D0 is given by  a)3x4y2+y6 =c b)3x4y2+y5 =c…

A:

Q: 1 If y = ex , then y equals (A none of the given choices – 2y B) x3 2y x3 - 2x y3 2x E) y3

A: To find y'

Q: The general solution of the DE: y" – 3y = 0 is Select one: y = ce² + cze³z y = c +cze³z y = ce² +…

A:

Q: Find the general solution: ydx-(e^у+2ху-2х)dy О А. ху^2-се^2у+2(y+1) е^у О в. ху^2-се^2у-2(у+1) е^у…

A:

Q: The appropriate form of the particular solution for y"-9y r+e3 is: Select one: Yp = Ar + B+ Cez %3D…

A: In this question we have to find appropriate form of particular solution given in the question.

Q: The general solution of 4y" + 4y'+y = 0 is y(x) =

A:

Q: The appropriate form of a particular solution yp of the equation y"+2y'+y=e* _is Select one: O a.…

A:

Q: Perform the change of variables indicated in the problem to obtain the general solution to the…

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Q: The particular solution to y" + 2y' +y=x is: Select one: a. 1 O b. 2х-1 C. 2х-2 O d. x- 2

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Q: If y = ex , then y' equals (A none of the given choices - 2y x3 2x 2y D 2x E

A: Please refer the attached image for complete solution. THANK YOU.

Q: The particular solution to y" + 2y'+y =x is: Select one: a. 2 O b. 2x - 2 O C. х - 2 d. 2x - 1

A:

Q: If y is the solution of the I.V.P t y" - 4 ty' +6 y = 0, y(1)=7, y'(1)= 4, then y(2)= 15. Select…

A: yes this is true .

Q: 5. Solution for px - y = eP is (a) y = cx² + e° (b) y² = cx + e° (c) y = cx – e° (d) xy + cy = x

A: Given :            The equation is px - y = ep   To find the solution of the equation px - y =…

Q: The general solution for the DE - y=D2e2x, is given by O a.y= Ce* + Cze¯*+ex 1 O d.y Ge+C2xe* +e O…

A:

Q: Determine the general/particular solution (whichever applies): y" +2y' +y= e¬XIn (x) 1 3 y= 4 O y=…

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