What is the type of the following differential equation? y’ + (2xy+y)/2 = 1/e2x   Seperable Exact Homogenous Linear Non homogenous where M(x,y) and N (x,y) are linear

Q: y²y" = y³(y')² – yy'

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Q: Determine whether the differential equation is linear а. х- у 3D ху 1 b. y' = y c. y' = xy? = Vx d.…

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Q: Consider a first-order linear differential equation y' + P(x)y = Q(x), where P(x) and Q(x) are…

A: We have to find explicit solution of First order linear differential equation:

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

A: Exact differential equation- A differential equation of the type Mdx+Ndy=0 is said to be exact if,…

Q: Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give…

A: We first give the right option for  the direction field of given differential equation then give the…

Q: y" – y' – 2y = 2e Jse the method of variation of parameters to find a particular solution of the…

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Q: State the order of the given ordinary differential equation. cosh(3/y) - 16ln(10y)y" = 9cos(5yx) -…

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Q: Let the differential equation be: y" – 6y' + 9y = e3, where the complementary function is: Yc =…

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Q: The differential equation of y = 5bx2 + c after elimination of the arbitrary constant b, c is O y =…

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Q: Solve the differential equation using Variation of Parameters e* (D² – 2D + 1) y

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Q: 3ydx What is the general solution to the differential equation 3dy + = y*(2x*)dx ?

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Q: Dat

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Q: Consider the differential equation y' = 10y – 21y? (a) Find all equilibria of the differential…

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Q: Consider the differential equation (1– v2)y' – ytanx = yv²tanx Which of the following is the linear…

A: Given(1-2) y1 - y tan x = y2 tan x —(I)(1-2) y2- y1 - y1-2 tan x = tan x —(II)Put       y1-2 = u…

Q: The differential equation y' = √2x−y +1 +2 has the solution 3

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Q: Find a function y = y(x) that has all of the following properties: • It satisfies the differential…

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Q: y = xy' – 2(y')² + 3

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Q: ; v' = v ]n(y + 2).

A: Given differential equationThe equillibrium solution is obtianed when

Q: The differential equation ty' = cos² (y) is . ...linear, separable, and autonomous. O.nonlinear,…

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Q: y' + p(t)y = g(t) and find p(t) and g(t). p(t) = = g(t) = Put the differential equation 5ty + ety' =…

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x 3x A. B. O O E. y" - 3y' =…

A: Given a  equation of general solution of a differential equation. By terminating arbitrary constant…

Q: The differential equation can be written in differential form: y + 4y7 (y + 6x)y' M(x,y) dx +N(x, y)…

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Q: families of ellipse with center at the origin a. xyy" + x(y')²- yy' 0 %3D

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Q: The differential equation of the family curve y=c1x³ is Select one: dy а. dx 3x O b. y'=3x O c.…

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Q: What is the differential equation of 2y'=3y+1 when y(1)=0

A: Consider the provided D.E 2y'=3y+1  when y1=0 We need to find the solution of the given D.E, Since,…

Q: Match the differential equation with its slope field; justify your answers.

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Q: Find a function y = y(x) that has all of the following properties: • It satisfies the differential…

A: We have to find a function y=y(x) that has the following properties. 1) It satisfies the…

Q: Put the differential equation p(t) = g(t) = ty' (t² + 5)y = cos(t) + e3t into the form y' + p(t)y =…

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Q: Select the function which is a solution of the differential equation. y" – 2y + 10y = 0 O y = 3e*…

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Q: Classify the differential equation xy' et -y = Vã – 5y . (Do not attempt to solve the eqr x + 1 O…

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Q: What is the solution of the differential equation 2a y' y(y² + 3a?)? O a. z? = y (c – y) O b. y? = z…

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Q: An integrating factor µ(x) for the linear differential equation xy² - 4y= 2x is Select one: O None…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.