s2 Y(s) : Find y(t), also what is y (0)? s3-2s2-s +2

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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Q: Use variation of parameters plem) to find a particular solution to y" – 2y' – 15y = e -3t %3D You do…

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Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: Find the solution. xy'- xy = 1- y, y(1) = 0 A y --(1 - el-) © y -1+ el+")

A: Solution of the differential equation

Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

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Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: determine L−1[F].

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Q: Q3/ i& it was 2y-2x=0 di fferenitul equation, its solution is. O zy -x²+e のy-x2= e %3D ® zy+x²=e +…

A: To find: The solution of the differential equation 2y'-2x=0. Calculation: The solution of…

Q: X2 , 1 avuu. 3 VA 3. x = y3, 0 sy s1 about y-axis.

A: Given function is x=y^3

Q: (t+2)y"-y'-(4t+10)y=0 Given y1=e-2t Find y2?

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Q: r/64–x² r61-x²-y² x dz dy dx -67+x²+y²

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Q: cx + dy - f(x, y) = ; P(3, 4); u =i+ x - y

A: Given that  f(x,y)=(cx+dy)/(x-y) P(3,4) and u=(4/5,3/5) To find the directional derivative of f at p

Q: -(D² – 25) y = x e* . Using method of undetermined coefficients, what is y Consider A ' = Ax e* + B…

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Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: 2s (s² + 1)² 3) Find L¹ 40 by using the convolution theorem.

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Q: 2 Find dyif y.+3x-7 and x =, 2t +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: y(t) = y" - 3y' = 8e²t - 2e-t, y(0) = 1, y'(0) = -1

A: Given

Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

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Q: 2. T1: R2 - R2, T1(x, y) = (x – 2y, 5x + 2y) T2: R2 - R2, T2(x, y) = (0, x)

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Q: y''+3y'-10y=0, y(0)=k,y'(0)=5   Find value of a so soultion of the IVP approaches 0 at t ->…

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Q: Find the particular solution. y' = e* - 4; y(0) = 3

A: For a differential equation, there are two parts of solution. one is the complimentary function…

Q: d²y x-9 Find for y dx2 = (3x² –2x+5)

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Q: 2. (D² + 8D + 16)y = 1-e4x

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Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y+y3 - 3x2 – 3y2 +2.

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

Q: (s-2) F(s) = [+ %3D (s-2)2 + 16

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Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

Q: S1-ve xdy give y- I when X2/2

A: A detailed solution is given below.

Q: g(1) = t² – 2, find g(-2) Solution: g(-2) =, g(-2) = g(-2) =

A: Here we have, g(t)=t2-2  ............................ (1) We have to find g(-2)=?

Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

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

Q: y''-3y+2y=5e^3x,y1=e^x

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Q: s2 a) Y(s) Find y(t), also what is y (0)? 53-2s2-s +2 s+6 b) Y(s): Find y(t) s2+8s+6

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Q: (D³ + 7D² + 19D + 13)y = 0 when x = 0,y = 0,y' = 2,y" = -12 %3D %3D

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Q: Approximate y(2.1) using the points (2,0.693147) , (2.1,0.741937), (2.2,0.788457), (2.3,0.832909),…

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Q: 8. y=x²³²₁ x=2, x-axis; about the y-axis ४.

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Q: Q-1:A: find a real general solution: * y + 4y' + 5y =x +2

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Q: y = x"-9 (x 20) X=0, y=D, about the Xaxis %3D

A: To find the volume of curve , towards the rotation about x - axis.

Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A: Given data,y''-2y'+1=0We have, (D2-2D+1)y =0The auxiliary equation is m2 -2m+1 =0 ⇒m= 1,1When the…

Q: d²y Find for y dx2 x-9 (Зx2-2х+5)

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

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: 2.3 - y 5e2, with y(0) = 0 and y'(0) = 1 %3D

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Q: Q2/ Show that y =e2x + e-3x is the solution to the y"+ y' - 6y = 0

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Q: 3s F(s) = s2 – s – 6 s - 6

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Q: + Vs + es +- ds n = 3 From left endpoint s² + 1

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Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Q: 3x+xy? when y(1) = 3. y+x?y Find the particular solution of y'

A: First order non linear ordinary differential equation, solving by separating the variables.

Q: y²+(a+1)xy-ax? x((a+1)x-(a-1)y) What is the general solution y' where a > 0. %3D

A: Given differential equation is,