9. Use separation of variables to find the general solution of the differential equation. dy = sinx dx а. = 3 sinx + C b. y = - 3cosx +C c. y = cosx+C d. y = 3cosx + C %3D e. y = cosx +C %3D

Q: 2. x²y' – 2xy = x* + 3; y = 2 when x = 1

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?

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Q: What is the particular solution to the differential equation = (x – 1)(1 y) with the initial…

A: givendydx=(x-1)(1-y)we will solve this equation by Variable separable method

Q: Let y' (x) = V1– y²(x) be a differential equation. What is a solution?

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Q: Find the solution of the differential equation that satisfies the given inital condition.…

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Q: Given the differential equation 2 y" + 18y = 6 tan(3x) Determine the value of u2. AH2 "3 =" 9*…

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Q: What is the particular solution to the differential equation dx 1 + y = 2e-* with y = 1, dy -1 when…

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Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

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Q: The Bernoulli's form of the differential equation x³ydx + (3x¹ − y³ )dy = 0 is

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Q: 2x-y? xy? 3- ()dr – ()dy = 0 is exact differential equation. True False o o

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Q: What is the integrating factor to (2y2 + 3xy – 2y +6x) dx + x (x + 2y – 1) dy = 0, to make it an…

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Q: 1. ax дхду?, 2. dy + 2x+ y = x² + 2 3. дхду = y

A: Due to our guidelines, we can solve only three subparts plzz reupload rest question by mentioning it…

Q: ( 3x - y +1) dx - ( 9x - 3y – 3 ) dy = 0

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Q: 8. Consider the homogeneous linear equation: 2.a²y" + 3xy' – y = 0, x > 0. (a) Explain why y = e" is…

A: Note: Since these are independent subparts, according to our policy we are only allowed to solve…

Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

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Q: (6) Show that the solution of the differential equation dr 3 + dy 3(y + 1) is r (y + 1)³ + c y +1 y…

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Q: B/ Find solution for the homogenous differential equation below: dy x² +y² dx 2хy

A: Given differential equation is dydx = x2+y22xy

Q: Find the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0 using dv/dx.

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Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables y = x³ y =…

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Q: What is the particular solution to the differential equation dy/dx=xy2 with initial condition y(2) =…

A: To find the particular solution

Q: What is the general solution to the differential equation dydx=(x−1)/(3y^2) for y>0y>0

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Q: 4. Consider the differential equation dy arctan r sin(ry). dx (a) Find all equilibrium solutions.

A: From the given information. The differential equation is as follows.

Q: y(4x + y) dx - 2(x² - y) dy = 0

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Q: 1. Obtain the differential equation associated with y=Ax2+Bx+C

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Q: 4) In the differential equation of, y(x³ – y)dx – x(x³ + y)dy = 0 - where a and ß are constants,…

A: Explanation of the solution is given below....

Q: Find the general solution of the first-order linear differential equation for x > 0. dy = 30x + 14…

A: Consider the given information:

Q: what is the particular solution to the differential equation dy/dx=3sin(x)(2-y)with the initial…

A: You need to apply variable separable metod to solve the given differential equation.

Q: (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Given differential equation is  1+exydx+exy1-xydy=0 Which is in the form of Mdx+Ndy=0. where…

Q: Find the general solution of the non-homogeneous differential equation Y” –  2Y’  + Y  =  4 cos x

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Q: 2) find the complete solution of the differential equation x dy +Jx²-y*dx = ydt

A: given xdy+x2-y2dx=ydxxdy=(y-x2-y2)dxdydx=(y-x2-y2x)put…

Q: Determine the particular solution of the given differential equation: y = 2(3x +y) – 1. when x-0.…

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Q: Let y = Cre". For which values of C is y a solution to the differential equation y" = y+4e#?

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: A. Obtain the differential equation of the given solution by eliminating the arbitrary constant(s):…

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Q: 4. Use separation of variables to find the general solution of the differential equation. dy = 5t+1…

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Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

A: Given : xy'+y=8x+9x Following formulas are used- ∫1xdx=lnx∫xndx=xn+1  n+1

Q: What is the family of solution for the differential equation below? (1 point) dy 8sin4x dx a. y=-…

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Q: Show that y = ce* + (x + 2)e²x is a general solution for the differential equation y' - y = (x +…

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Q: 2xydx – (y² – x²)dy = 0 ; x= 4, y = 0

A: Note the following exact differential equation : x dy+y dx=dxy 2xy dx+x2dy=dx2y .

Q: The solution of the differential equation using dy = 5/1- y? dx variable separable is cOs 5х + с O…

A: Solve by variable separable

Q: Obtain the solution of the differential equation (3 sin y − 5x)dx + 2x^2cot y dy = 0

A: Given the DE is 3siny-5xdx+2x2cotydy=0.

Q: 2(dy/dx)+3y=sin2x, y(0)=6 what is the particular solution to the differential equation

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Q: Find the general solution of the higher order linear ordinary differential equation: y"' + 2y" + 4'…

A: We have to find general solution of given differential equation.

Q: 手u等() dy dy seex dy-o 2 csey dx+ secx dy-o

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Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

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Q: Show that y1 =- and y2 = Vx are solutions of the following differential equation 4x3у" + 7x?у' — ху…

A: According to the given information, it is required to show that the given y1 and y2 are the…

Q: 4. Find the general solution of the differential equation using the method of undetermined…

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Q: 22. Use separation of variables to find the general solution of the differential equation. dy = sinx…

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Q: 4. Use separation of variables to find the general solution of the differential equation. dy = 5t*…

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