The differential equation can be written in differential form: where M(x, y): = y+2y7 = (y² + 6x) y' M(x, y) dx + N(x, y) dy = 0 ‚ and N(x, y) = The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is divided by y7. Integrating that new equation, the solution of the differential equation is = C.

Q: Find y' at the point (6, 6) where x sin(x? – y²) + 33 = x? – 3.

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Q: (1-x) y'= y?

A: We have to solve the given differential equation

Q: Find y' and y". y - In(x + VB+ x²) / 8 + x² 1 y' = V 8 +x2 y" II

A: Given: y=lnx+8+x2

Q: Find y' for y=3x-3-7x-¹. y'=0

A:

Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: Find y' and y". In(7x) y = x7 y' = y" %3D

A: The given function is: y=ln(7x)x7 Therefore, y'=1x7ddx(ln(7x))+ln(7x)ddx1x7    =1x717x·7+ln(7x)-7x8…

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A: Given query is to find indicated derivative.

Q: If t²y" – ty – y = 0 ,y(1) = 3 and y'(1) = -1, then y(4) = . . . %3D

A: Given differential equation, t2y''-12ty'-y=0,y1=3,y'1=-1 Find the value of y4.

Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x…

A: Solution:  To find the integrating factor of the given differential equations

Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

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Q: 3y' –4x²y+ xy = -5 %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find y as a function of a if y(1)9, y'(1) = -5. y = x²y" - 15xy' + 64y = x²,

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Q: Find y' for y = 9x-6 + 7x¯1. y' =O

A: Given: y=9x-6+7x-1

Q: Recall that R^n×n is the vector space of n×n matrices. Let S be the subset of R^n×n consisting of…

A: We know that Rn×n is the vector space of n×n matrices. Let S be the subset of Rn×n consisting of all…

Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

A:

Q: of y = 2 tan x 1-tan²x

A: Solution is done in step 2

Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: - 1 Find y' for y=7x7 + 9x¯ y' =

A:

Q: Find a linear differential operator that annihilates the function 2x + 4xex D'(D - 6 D(D - 6) D'(D -…

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Q: y'(t) = y sec t, Y 6) = 0

A: We need to solve the initial value problem y'(t)=ysect ; y(π/2)=0. The solution is given below.

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A:

Q: Find all complementary functions of the equation xy"+y'=0, x>0 1, x 1, Inx X, xlnx X, X-1 a. b. C.…

A:

Q: find the integrating factor

A:

Q: Find y' and y". x³y³ = y – 4

A: Explanation of the answer is as follows

Q: Find the derivative of the function y = (4x + 5)°(5x + 1)~ª. dy dx II

A: For the solution of the problem follow the next step.