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## Related Calculus Q&A

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

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Q: y' -y=e", y(0)=1

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Q: y'(t) = In(y- 3) %3D

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Q: yy' – xcos(x²) = 0, y(0) = -2

A: We have to find the particular solution of the given initial value problem.

Q: y. -1+y- = Vy y+ - x=y x=-1

A: Given:- x=y, x=√y To find:- Volume of solid form by given curves about line x=-1

Q: 1) y"- 3y"+3y'- y = ť°e' ; y(0) = 1, y '(0) = 2

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Q: a. y = x* – 3x² + 2 at a point (1,0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: y" + 2y' + 2y = e-t, y(0+) = 2; y'(0+) = 1.

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Q: 21. x = y°, x = 0, and y = 3; about the x-axis

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Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Given: Tx1x2x3=x1+x2x2+x3x1+x3 ; Sy1y2y3=y1-y2y2-y3-y1+y3Let…

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Q: y' + 2y = x'e-, y(0) = 1

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Q: z² - xy = 2 at the point (2, 1)= %3D

A: We have to find the slope of the line tangent to the given curve.

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Q: 9-y2 V9-y2e e-(x²+y²) dxdy

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Q: Write an equation for line L in point-slope form and slope-intercept form.

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Q: Solve the initial value problem and determine where the solution attains its maximum value.

A: To determine the solution of the initial value problem and determine its maximum value.

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Q: Solve the initial value problem and determine where the solution attains its maximum value.

A: Given, the initial value problem

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Q: x-(1+iy) in terms of z and ī (x-1)2+y²

A: This question is related to complex number

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Q: y f(x, y) = x²e" -1 3 1.3 2.1 3.

A: put the given values of x and y detailed solution is given below

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Q: X1+iy,=x,+iy2• =) X =x OX1=Y1 2

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Q: x*y"-xy'+y = 0 Y, = In x

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Q: Find the area of the surface formed by revolving the graph of f(x) = x3 on the interval [0, 1] about…

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Q: - 6х + 2у, dt dy -3х + 1у dt

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Q: y′′ + 2y′ − 8y = 2e-2x − e−x , y(0) = 1, y′ (0) = 0.

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Q: y = 2x, y= 0, x= 2 I3D

A: We have to find volume when we rotate the lining region around the line y=8.

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Q: 1. y'- y=-xy x* +1 =-xy²

A: We have to solve using bernouli

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Q: y''-y' - 2 y = 6 x e2 × – 2 e, y (0) = 1, y' (0) = 1 %3D A)

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

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Q: Evaluate the integrals

A: Given: ∫-3-1y5-2yy3dy for evaluating this limit we first separate terms then integrate it

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Q: 2 -y2 dydx e 0. 2x

A: The answer is given as follows:

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Q: y fa(4y) -1.0 -2 1/8 -0.5 -1 1/4 1/2 1/8 0.5 1 1.0 2 Find the E (X), E(Y), V (X), and V (Y). 2.

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Q: y'= y– xy'e-2* X) ||

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Q: ý +Zy=-x'y':x-1)=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.

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Q: y" – 3y" + 3y' – y = x²e*, y(0) = 1, y'(0) = 2, y"(0) = 3 -

A: NOTE: Refresh your page if you can't see any equations. . take Laplace

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Q: ху xy' – y = xkyn

A: Click to see the answer

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Q: Find the general solution to y''-y=0

A: y'' -y=0Auxillary equation is m2-1=0⇒(m-1)(m+1)=0⇒m-1=0 or m+1=0⇒m=1 or m=-1Therefore C.F. is…

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Q: y" + 2y' + y = x at x = 0, y = -3, and x = 1, y = -1

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Q: y (e + e-2)- (2y – y) e- y = 0

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Q: Hiw: dy り+X ソ-X

A: dy/dx=( y+x)/(y-x)

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Q: y"+3y"- 3yl-y=x+e" -y%3Dx+e

A: Click to see the answer

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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

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Q: 11. y" – 2y' + y = e', y(0) = -2, y'(0) = 2, yp(1) = Įře' %3D

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Q: 11. y"-y'-12y = 0; e-3*,e**,(-0o, 00) 4x

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

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Q: 1² – y (a) f(r,y) = 3 (b) g(x,y) = e"-z

A: Now , We will check the functions .

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Q: y" + y = 0, y(0) = y(1) = 0,0 < x < a I|

A: Solution:

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Q: 3 - 2 (6x + y) dx dy 0 -5

A: To find : double integration

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Q: 2 c4 S Se-x-2y dydx 2х

A: Click to see the answer

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Q: ху a) y'=Xy х +1

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

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Q: 2y´´-5y´+3y=0 y1=e^x

A: Click to see the answer

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Q: Use implicit differentiation to find dy/dx.

A: Given- y=2lnx+3 To Use- Implicit differentiation to find dydx.

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Q: dr - (x- 2) ey dy = 0

A: Given Differential equation is linear. We will solve it by finding integrating factor