Evaluate (D2+3D+2)y=(1+e-x)-1

Q: у" - 5y" 2y' + 24y = x + e-2x

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Q: y2-16y +28=

A: Topic:- algebra

Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: (d) (x– 2)* + (y-9)* =1 (e) x² + y² = 1 (f) x² +(y+5)° = = 25

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Q: Find d2y/dx2 implicitly in terms of x and y.

A: Implicit differentiation involves the treatment of one of the variables as a function of another and…

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

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

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

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Q: calculate d2y/dx2 when y=.4x-.3

A: Given function is y=4x-3. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the…

Q: 1. (D³ + 3D² - 4D - 12)y = 0 2. - d'x 19+ 30 = 0 dt3 dt 3. (4D4 - 8D³ - 7D² + 11D + 6)y = 0

A: 1). From the given differential equation; D3+3D2-4D-12y=0 So, The auxiliary equation is:…

Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

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Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: d. yı = X1 X3 X1 + X2 Ya = - X1 – 3x2 – 2x3 e. yı = x1 + 2x2 + X3 Y2 = Y2 = x1 + x2 Ya = X2 + X3.

A: d)  The map from R3 to R2 is onto.  e)   The map from R3 to R3 is not onto.

Q: 4. y(y² - 2x²) dx + x(2y² - x²)dy = 0 [Answer: x²y² (y² - x²) = = C

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Q: 70. 4y" +5y' - 2y = e²+xsinx

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Q: (D³– 4D°D'+ 5DD2 – 2D ) z = e'*2* + Vy + +2x +Vy +x. |

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Q: 4-y² 2-y SŠ *-* zdxdzdy

A: Given:  Let I=∫02∫04-y2∫02-y z dx dz dy To Find: To evaluate the given triple integration.

Q: (e) y"+4y' = -4y %3D

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Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

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Q: у" + Зу" + Зуy' + у %3D 30 е -х

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Q: If we substitutev = 2x + y in the D. E y + 2x + y + 2 = (2r + y) e we obtain :

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Q: 22. y = 3* 23.) f(x) = 24 fx) =x %3D + 4 2x + 3 g t) = - 7 fx) = 7x – 4 7x- 4 %3D 8(x) : %3D %3D

A: As per bartleby guideline for more than three subpart question asked only first three is to be…

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

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Q: y" + 4y' + 3y = 15 e^2x + e^-x

A: Given differential equation is: y''+4y'+3y=15e2x+e-x Solution of differential equation is sum of…

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

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Q: dy y16y² - 1

A: Consider the given integral:

Q: +2x (D³ – 4D’D'+ 5DD" - 2D") z=e** + Vy +x.

A: Given PDE is D3-4D2D'+5DD'2-2D'3z=ey+2x+y+x We can write it as D-D'2D-2D'z=ey+2x+y+x             (1)…

Q: 3 x - 4 Vx - 2 y = y = -

A: Two functions are given. Both of these functions are single variable functions. We have to draw the…

Q: y"' + 3y" + 3y' + y = 30 e-*

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

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Q: Find the domain of y = 3x+3. %3D X S-1 O x 2 -1 O x > 1

A: NOTE: Refresh your page if you can't see any equations. . as we know square roots of a negative…

Q: C2 (2+/4-x2-y2 (x² + y² + z²)/² dz dy d /4-x² J2- 4-x²-y2

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Q: * (D-2y'y(x) -0 d Ja -1

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Q: (2D 3D-2)X+(D+ZD-494-4 D+HX+LD+2}y=o

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Q: 12e* 10) y"-2y'+y =-

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Q: 5. x + y 10x + 8y + 16 = 0 %3D -

A: Consider the following equation of curve:…

Q: 1l y" + 4y' + 4y = e-2x %3D x2

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Q: + d²z Oy2 = 0;

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Q: Find d2y/dx2 if y= (x2-1)(x3+2)

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Q: 3 dt (d) 4+ 3t2 -2

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Q: 2 – 2ay) dy,

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Q: (x²-2y+xz) dydzdx= -2°1

A: Given        ∫03∫-21∫12(x2-2y+xz)dydzdx=

Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.

Q: 1. y" + 4y' + 4y = e-2x %3D x2

A: We find the complementary solution Yc and Particular integral Yp The complete solution is sum of Yc…

Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

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Q: e3x-y+z (e*)³e² ey True False

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Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

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Q: 3 1 (x + 2y)dydx -1 a) 5 b)7 O d)-:

A: Please check step 2 for solution.

Q: 1) ys-x- 2 y2-5x + 2

A: Since you have posted multiple questions so according to our guideline we will solve the first…

Q: y = (2x + 1)v2x+1

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Q: Find the derivatives of the given functions. (Part D and E)

A: d)  We will need the quotient rule. For that assume u and v and find u' and v'