k(x) = -5z2 - 125 %3D

Q: 2. (D2 - 5D + 6)y = 2 e*. 3. (D2 - 4D + 4)y = e*. |

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Q: 2x+y 4ー dそdXdy -V4-y2

A: Triple integral is an integral of an integral with respect to three different variables. the…

Q: | (3z + 4) dy 2.

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Q: 6

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Q: yーx メ=ニ %3D

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Q: y" + 2y' – 15y = e3x %3D

A: We find particular integral by inverse operator

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: -. (D² +4D+4)y=-x*e y =-x³e

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Q: (x) y(2) =4 %3D

A: We will use the given condition to find the solution of the given differential equation

Q: Test graphically if the data suppport the proportionality: y proportional to x3

A: Given data is x 1 1.5 2 2.5 3 y 0.4 1.7 3.9 7.7 13.6

Q: 4. S 2z3 e1-² dz

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Q: y = -2 sec(2x - T)

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Q: | 2x²+ 4x- 5 x(x² +6x+10)? * To solve | -dx using the method of partial fractions, we write it as

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Q: Solve y(4) – 3y" – 4y = x² + e2x .

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Q: 3 [*² [b³ – y³]² dy

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Q: Cco s 2x -2) Differentiate y= 3x e 2.

A: The objective is to differentiate y=3x2ecos2x-22

Q: 2 y (4- y²)³ dy

A: The objective of the question is evaluate the definite integral.

Q: 2. y"+ 4y 4 sec2x

A: @

Q: y" – 3y + 2y = e5a

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Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. = dy (-5x + y)² – 4

A: We need to solve the differential equation by substitution.

Q: у" + Зу" + Зуy' + у %3D 30 е -х

A:

Q: -dx x´ +3x

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

Q: Solve the nonlinear equation f(x) = e*-3x using: %3D

A: Muller method

Q: Using partial equation, solve for: xy3dx + (y+1)e -xdy =0

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Q: y = -2 + 3cos (x- 4)

A: We have to graph the given function y=-2+3cos(x-4).

Q: y = sec- (4a + 5)

A: on differentiation we get the

Q: y - x = 3 y =- 4x – 2 y=-X+3

A: Topic = Coordinate Geometry

Q: y² + 5 dy y²(y² + 25)

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Q: x° +2 y=- e3x +9

A: Given: As x→∞, y=x6+2e3x+9 To find: limx→∞x6+2e3x+9

Q: 1. y = e²x+3

A: Topic = Derivative

Q: y = (t² – 2)². a²y 2. dx²

A: y=t2-22 and x=t2 Now, differentiate the given function with respect to t.…

Q: y" + 6y 2+e 1x 二

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Q: 3. y = v2x' +x /2.

A: We need to find the derivative of 3. y=2x3+x

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: 31. y-4y x+ 4 %3D

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Q: y"-3y¹+2= 1²+5t-2 1. Method of Variation of Parameters

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Q: 6. (D² + 1)y =- 1 %3D 3

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

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

Q: Differentiate y = [e2x + (x + 1n x)3]4.

A: Given function is y=e2x+x+lnx34. Power rule of differentiation states that: ddxxn=nxn-1 Chain rule…

Q: (x²-2y+xz) dydzdx= -2°1

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

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

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Q: y''- 2y"=cosh(2x).

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Q: c (x3 +8x2+20x+34) dx x2+5x+6

A: ∫(x3+8x2+20x+34)x2+5x+6dx

Q: Q2 Ci+x)y =ソ-1 Y(0)=0 →yー1-e

A: To solve the given equation.

Q: 3-3X 3-3X-y dz

A: ∫01∫03-3x∫03-3x-y dz dy dx

Q: Find mZX. Y 2 3

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Q: et dx V1+e2r

A: ∫ex1+e2x dx On simplification, we get ∫ex1+e2x dx=∫ex1+ex2 dx Now put, ex=t⇒ex=dtdx     ∵dexdx=ex⇒ex…