Which differential equation is variable separable? (A) xy dx + (x² + 1) dy=0 (в) (х2+ у) dx - Зху dy%3D0 B (e* + y) dx + sinx cosy dy=0 (D х2 dx + (3x- у) dy %3D0

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: (;+-) dx + (ve» +) dy = = 0 x2 + y2, x2 + y2.

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Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

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Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

Q: 2] The linear differential equation with constant coefficients satisfied by the equation y = 2x 5e2*…

A: Hence option (b) is correct.

Q: solve the for the general solution of the differential equation( linear homologous equation): (D2 +…

A: We have to solve the differential equation: D2+2D-1y=0 The given equation is in symbolic form where,…

Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: y" – 4y' + 4y = (12x² – 6x)e2*

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Q: A differential equation is considered to be ordinary if it has A. one dependent variable B. more…

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

Q: The solution of the differential equation using variable separable  dydx+7secy=

A: To find the solution of differential equation dy/dx+7secy=0

Q: The equation y" + y'- 2y = x² is called a differential equation because it involves an unknown…

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Q: Find the general solution of the differential equation. (Enter your solution as an equation.) xy' =…

A: xy'=3y⇒x·dydx=3y⇒dyy=3·dxx

Q: (x-y)y-y-tanx is second order linear differential equation.

A: False.

Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у - E

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

Q: (x² + y²)dx – xydy = 0 %3D -

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Q: Find the general solution of differential eqiuation 4 x2y''+y=0 if one of the solution is given by…

A: The differential equation is, . A second order Euler's ordinary differential equation is given by,…

Q: en differential equation by 3y" + 3y¹ - y = x - 5ex + foret + fot²ex - x 2x

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Q: y' = (x+y– 2)² (х-у)?

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Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

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Q: (5) Solve the differential equation by dy variable separable x°y- csc y dx

A: Using method of variables separable.

Q: solve the for the general solution of the differential equation( linear homologous equation): y''-…

A: answer  Y = 9x22+ 3x detailed solution is given below

Q: A differential equation is considered to be ordinary if it has (A)one dependent variable (B) more…

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Q: 4.x+xy? y-x²y ,2 dy dx

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) -…

A: The given differential equation is, y''+2y'-8y=5e-2x-e-x. Obtain the homogeneous solution.…

Q: 2. Consider the differential equation y' -()y = 2+G) t If y(0) = yo, find the particular solution to…

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

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

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Q: solve the for the general solution of the differential equation( linear homologous equation): y'' −…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: x²y" – 3xy' + 4y = x³Inx |

A: The solution is given as

Q: m the differential equation by eliminating arbitary const

A: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

Q: The integrating factor of non-exact differential equation (x°y³ – ®)dx – (y6 – x³y)dy = 0 - -

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Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False

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Q: Solve the differential equation using Coefficient Linear in the Two Variables. Show Complete…

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Q: Solve differential equation are separable  y'=y^1/2

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Q: Verify that the general solution satisfies the differential equation. Then find the particular…

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Q: Verify that the general condition satisfies the differential equation. Then find the solution that…

A: y''+9y=0 is the given DE with the general solution y=C1sin(3x)+C2cos(3x)...(1) To verify the general…

Q: Find a homogeneous linear differential equation with constant coefficient whose general solution is…

A: Given the solution of a homogeneous linear differential equation with constant coefficient. That is,…

Q: A differential equation and its slope field are given. Complete the table by determining the slopes…

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Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1 %3D

A: We first separate the variables2y2dx=3x2dy2dxx2=3dyy2then integrate both…

Q: Verify that the general solution satisfies the differential equation. Then find the particular…

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Q: Determine whether the differential equation (2− y′)/ y= 5x is linear. Explain your reasoning.

A: To determine whether the differential equation (2-y')/y=5x is linear.

Q: An integrating factor for the linear differential equation = x - is (Select the correct answer.) x2…

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Q: 2. Find the differential equation having the solution as the equation representing all lines with…

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Q: dy cosh x dx + (sinh x)y = e-x

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Q: A differential equation is considered to be ordinary if it has aone independent variable more than…

A: Option C  One dependent variable

Q: solve the for the general solution of the differential equation( linear homologous equation): (4D4 -…

A: Solving the equation With the aid synthetic division, it is easily seen that the auxiliary equation

Q: xy²-y y' %3D

A: Given: y'=xy2-yx

Q: 2 11 y+xy+y%3D45inlnx

A:

Q: y= 2ax + bx^2

A:

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.