Given the differential equation ydr - (x + 6y²) dy = 0, What is M ? O -1 O y O 1

Q: What is the solution of the differential equation by da = a(2a' + y)dy ? a. 1. = .3 O b. 1 1 2 O . 1…

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Q: Obtain the general solution of the following higher order differential equation. 7. (D4 – D3 + D2 -…

A: Solution Given We need to find the general solution of the differential equation

Q: ƏM ƏN 5. In the differential equation (y² – x² -4x-1)dy+ 2y(x+ y+2)dx=0, what is |

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Q: Given a differential equation as d²y x2 dx² +4y=0. dx By using substitution of x = e' and t = ln…

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Q: (5) Find the general solution of the differential equation (D+6D+16)y= sin 4z

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Q: Given the differential equation da? d'y dy 6y = 0 and the initial - dx conditions y(0) =0 and y'(0)…

A: Given: d2ydx2+dydx-6y=0 And The given particular solution is; y=-6e2x+6e-3x   ...1   We know that,…

Q: Given the differential equation (3x? + 2y?) dx + (4xy + 6y) dy = 0, What is 8 N %3D = ?

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Q: ,use the annihilator method to solve the given differential equation. Q. y′′+4y =8cos2x

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Q: Solve the differential equation with the given initial condition.

A: Given differential equation is, dydx=4x3, y1=4.   It is simplified as follows: dydx=4x3dy=4x3dx…

Q: solve the differential equation with the given initial condition.

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Q: Solve the differential equation y" + 16y 2cos z.

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Q: Given the differential equation (군+2) ? uy x2 and the initial condition y(1)= a, what is the value…

A: To find the value of a

Q: Solve the differential equation ydx + x (y? + In x) dy = 0.

A: Idea: make it into exact differential equation by multiplying integrating factor. then write the…

Q: Solve the differential equation of the following (x-3y+2) dx + 3(x+3y-4) dy = 0

A: The given differential equation is  (x-3y+2) dx + 3(x+3y-4) dy = 0

Q: xe'dy + +1 da = 0

A: A detailed solution is given below

Q: Given the differential equation (y -2re") dr + (2xy-a'e") dy = 0,What is M -2x -2re 2y 2ey O 2y-2ze

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Q: The solution of the differential equation (e* +1)ydy =(y+1)e* dx is:

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Q: Given the differential equation y" - 8 y' + 16y 7sin(9x)

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Q: Find the general solution for the differential equation: 1- y" - 4y = 1+ 65e'cos(2t)

A: Given : y'' - 4y = 1+65et cos(2t)  To find : General solution of the given DE

Q: Find the two values of k for which y(x) = ek is a solution of the differential equation y'" – 17y' +…

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Q: ,determine the general solution to the given differential equation. Q. y′′′+3y′′−4y =0.

A: Given: y'''+3y''-4y=0              (1) To find: The general solution to the given differential…

Q: Obtain the general solution of the following higher order differential equation. 5. (2D4 – 128D)y =…

A: We have to find the general solution of the 4th order differential equation 2D4-128Dy=0 where D=ddx.…

Q: Consider the differential equation dy 1 dr? y3 A solution to the above equation is Select one:

A: Given :d2ydx2=1y3

Q: Solve the given differential equation. dy a. dx (2y+3\² 4x+5,

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Q: Given the differential equation y²dx + (3xy + y² − 1) dy = 0 What is value of SM ? dy

A: Given the differential equation, y2 dx+3xy+y2-1 dy=0To find the value of δMδy.

Q: Find the general solution of the differential equation (D² – 6D + 8)y= 6² + cos 6x

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Q: 3. Consider the differential equation 4y" – 4y' – 8y = . Find a pa - et

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Q: (5) Find the general solution of the differential equation (D² + 6D + 9)y = sin 3x

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Q: y'+y=-x°e*y? y=-x'e*y?

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Q: Given the differential equation Tip dx *-1, find the particular solution, y = f(x), 3y with the…

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Q: Given the differential equation d*y d²y +3-6 dy +y = 5e² – 3 %3D dz4 dx? da how many arbitrary…

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Q: Find the general solution of the following ordinary differential equation: d²y -6 = -9y+ 7e3* + 7 dx…

A: We have              y'' -6y' =-9y+7e3x+7⇒y'' -6y' +9y=7e3x+7 Here, the characteristic equation is…

Q: determine the general solution to the given differential equation on (0,∞). Q. x2y′′−6y =0.

A: The given differential equation is x2y''-6y=0. Let y=xr be the solution. This implies that,

Q: Given the differential equation In(2x – 2)dy + ydx x-1 = 0 then what is = ? 8x y y Зху? + х х-1 O A…

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Q: Find a general solution to the given differential equation. y"+6y 9y 0

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Q: Given the differential equation = , dy find the particular solution, y = f(x), with the initial…

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Q: Find the general solution of the differential equation y" + 4y = 2 + e²² cos 2x

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Q: Find the general solution of the given second-order differential equation. Зу" + 2y' + у %3D0 y(x) :…

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Q: 4. Find the general solution of the differential equation: dy dy 9- dr + 14y = r dr?

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Q: Solve the differential equation of the following (ke2v-u) du – 2e2v (e2v+ku) dv = 0

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Q: Given the differential equation 2 (2xy + 4y - 3) dx + (x + 2)² dy = 0. What is the value of (SM-…

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Q: Solve the differential equation dy p² -7p+12 =0, where p= dx

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Q: Find a general solution to the given differential equation. y" + 9y 0

A: We are given homogeneous second order linear differential equation with constant coefficient we need…

Q: Given the differential equation In(2x - 2)dy + d + 4y SN = 0 then what is x-1 Зху? + х х-1 O c y х—1…

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Q: Given, 1 ) dæ + ( y6 Ах + 1 :) dy = 0 y7 is an exact differential equation. Determine the value of A

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Q: (D³ + 3D2 – 4D – 12)y = 0

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Q: Find the general Solution of the complement of the following differential equation y" - yy) +y =oy=0

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Q: Find the General Solution of the following differential equations:: (x - y)dx + (3x + y)dy= 0

A: x-ydx+3x+ydy=0⇒dydx=-xx-y3x+y⇒dydx=y-xy+3x⇒dydx=yx-1yx+3Let y=x⇒dydx=x dvdx+v⇒x…