Solution of the following differential equation dy ex+y dx e*-2y will be O a 2e-3Y=3e2+c b. 2e =3e-2*+c -2x+C -2*+C Oc 2e=3e are respectively dx a. 6,2 b.2,4 12

Q: Find the differential equation of the following function (x – 2)dx + 4(x +y – 1)dy = 0 a. 2(y + 1) =…

A: Let's find.

Q: d5y 3) d²y d*y d3y + 13 dx3 13 dx2 dy + 36 dx + 36 y = 0 dx5 dx*

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Q: H3. Solve the following differential equations dy 1) 2) d²y dx² +4+4y=x²²e-²x, dx d²y dy -6 +9y=e³x…

A: Sol:- 1) y'' +4y' +4y=x-2e-2xy'' +4y' +4y=e-2xx2The general solution to axy''+bxy'+cxy=gx can be…

Q: Solve the differential equation dy 3D V1+ x2 + y? + x?y+ xy- dx

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Q: Plz solve question (6) and (7) both parts within 30-40 mins I'll give you multiple upvote

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Q: Which of the following equations is non homogeneous differential equation? O a. dz = (z + y)? O b.…

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Q: Find the Wronskian for the differential equation dy dy. +7 + 12y = 0 dx2 d.x .A -Ze-7x .B 7x .C -3x…

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Q: Tom wants to invest $500. He invests in a company that predicts his investment will double in value…

A: Initial investment is $500 and the money gets doubled in 3 years.

Q: Find the Wronskian for the differential equation dy dy 3- - 10y = 0 d.x - - dx? .A -3e30 .B 3e-3x .C…

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Q: &M What is of the differential equation (2z + 3) y = (y + 2z +3)i? %3D ○ 를 (y + 2z +3)) 3 G + 01 1 +…

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Q: The solution to the differential equation (x³y² + xy)dx=dy is x² a. 1=2x²y-4y+Cye ² 2 b. 1=…

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Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: Solve the given differential equation y liv) -81y = 0 %3D O a. y- c,e + cze 9* + C3cos3x + C48in3r +…

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Q: Let A = {1, 2,...,: 10}. Find the closure and the interior of A in the following topo- logical…

A: In mathematics, topology is the study of the properties of spaces that are preserved under…

Q: Solve the following differential equations: 1. (r - y2) dx = 2xy dy 2. (x²y – 2xy?) dx - (r³ – 3x3y)…

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Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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Q: dx + 6x = 3yæ y- dy 1 1 x = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 y = (x + x²C)³ x = (y +…

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Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: 4. Solve Y = 2x+2xy² dx using variable separable. y+2x?y

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The number of arbitrary constants in the general solution of the differential equation: D³( 2D5+ D¹…

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Q: D (D + 2)*y = 0 %3D

A: First we rewrite the given differential equation in auxiliary form.Then find the roots and write the…

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.