If y= (9x2-6x +2)e3x find dy then choose the correct answer: dx

Q: Find the roots of the equation: d³ y 4. dx3 dy 13 — +бу dx -

A: 4d3ydx3-13dydx+6y=0we have to find the roots of the equation

Q: If y = (x² + 6) °, find dx2

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Q: If y = (x² + 7)°, find d²y dx

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Q: (x+xy²)dxte*, ydy=D0

A: Given: x+xy2dx+ex2ydy=0 ⇒x1+y2dx+ex2ydy=0 ⇒ex2ydy=-x1+y2dx ⇒y1+y2dy=-xex2dx

Q: Given x = 5cost and y = 4sint, find in terms of t dy a) dx d²y b) dx2

A: Derivatives calculated using chain rule

Q: d²y Find dx2 1 y = ,2

A: Consider the given equation is, y=1x2 Differentiate as, y=x-2dydx=-2x-2-1dydx=-2x-3dydx=-2x-3

Q: Solve the d.e. using Method of Undetermined Coefficients (MUC) (D² – 3D – 4)y = 30e4x ||

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Q: Find dy for the following equation. y = 3xV3 - x4

A: For evaluating dy, we just have to differentiate y w.r.t x using the product rule.

Q: Find dy for the following equation. y= 3x/4 -x3

A: Given: The function is  y=3x4-x3   To determine: The differential dy for the function y=3x4-x3

Q: Solve the equation x*ydx +(y-x² )dy = 0.

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Q: Is y=V10 – x a solution of dx A) Yes B) No

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Q: dy If y = (9x2 – 6x +2)e3* find then choose the correct answer: dx %3D

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Q: The solution of (D² – 4D+13)y 0 5 2x (A eix . Be Jox (A ex + Be)

A: D2-4D+13y=0 The auxiliary equation is m2-4m+13=0 ⇒m=4±-42-4132⇒m=2±3i

Q: If x?y + 3y = xtan(y) + 2x d²y Find the value of dx2"

A: Consider a function defined as shown below: f(x,y)=g(x,y) These types of functions are called…

Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: 1. If y? = 10x , then dx2 d²y 5x А. 2ху 2y 5ху С. D. 2x 2 B.

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Q: Q2: solve the equation dx 2x dy y y 3.

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Q: dx d) Find S- xVx2+x+2

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: Find d2y/dx2 for the equation x=x3y2-3y3

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Q: SOlve the differentilal equation d²y d*y 4- d³y + 7. dx2 14 | dx+ dx3

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Q: Solve the following d'y 8- + 16y = 9e2 dx? d'y dx4 using the method of undetermined coefficients.

A: The solution is given as

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

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

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Q: (x+y*)dx-2x² ydy = 0

A: Given: x4+y4dx-2x3ydy=0 For finding solution of given differential equation, first we simplify it…

Q: Solve the equation x*ydx+(y-x² )dy = 0.

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Q: Q4. The degree of the equation is dy d²y dx dx?

A: degree it is the degree of higher order derivative term here higher order derivative is d2y/dx2…

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: dy dx2 Find in terms of x and y. x?y² – 4x = 9

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Q: Find the general solution please. (D3 -D)y =-2(1+x)+4ex -6e-x +96e3x

A: Given that the differential equation is     (D3-D)y = -2(1+x)+4ex-6e-x+96e3x  Here we have to find…

Q: Q6 Find dy, if y- +++

A: Given :y=xxx

Q: Find the solution. dy dx A y = c+x3 3x B y = 3 c-x - 3x ©y = c+x3 3 D y = Cx -x3

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Q: Find the solution. ,dy --y²=2xy dx A y B y = -(- -1 D 2x x-2

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Q: d?y Calculate dx2 y = -4x2 + 4x d?y dx2

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Q: Find d^2 y/dx^2 in terms of x and y. y8 = x9   d^2 y/dx^2

A: Given expression is, y8=x9

Q: Find the solution. dy x-+ 5y =2r2y4 dx

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Q: d’y d²y D. = 3e* +4x2 dx dx2

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

Q: What is the degree of the differentia equation dy 5a4 – 6x2 ? dx3 .A 1 .B .C 4 .D

A: The degree of the differential equation is represented by the power of the highest order derivative…

Q: Solue the differantial equation Dxy'+3y=6x3

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Q: Find d'y/dx2 implicitly in terms of x and y. x?y – 6x = 8

A: Given  x2y - 6x = 8 We have to find d2ydx2 implicitly in terms of x and y.

Q: d?y Calculate dx2 y = -4x2 + 7x d?y dx2

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Q: dy Given y= x³In x, -is dx A 3x2In x B B 3x2in x+ x2 ( c) x2 D 3x2

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Q: Given (D3+D)y = (secx)2. Solve for W2

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Q: Is y=/10 – x a solution of dx A) No B) Yes ||

A: As per guidelines we have to solve one question

Q: If x3 + y3 = 16, find the value of d2y/dx2 at the point (2, 2).

A: Given:

Q: Solve the equation xd2y/dx2-dy/dx+4x^3y=x^5

A: Consider the provided D.E,

Q: Given x=2t2+1 and y=t4-3, find the formula for d2y/dx2

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Q: 3x² ydx + (y* – x³ ) dy = 0

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Q: d³y Find dx3 where y = e*(8x + 1)

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Q: Find the solution. dy y dx A y = y = -x+ cx-8 y = y-2 -| 00 B.

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