What is the general solution of e3x dx? J (1 – 2e3= )2

Q: Given the differential equation dy + 9ху%3D6ху3 dx

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Q: The general solution of the given differential d3y equation - 3 d2y +3 dy - 1 = 0 is dx3 dx2 dx

A: Given DE is d3ydx3-3d2ydx2+3dydx-1=0 find the solution of the given DE lets write the given DE is…

Q: السؤال 12 What is the degree of the differential equation dy d.r3 5x* – 622 ? - 6x² .A .B 5 .C 4 .D…

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Q: 1. Find out the integrating factor and solve: x dy + (3x + 1) y dx e-3* dx.

A: First we will write the given differential equation in form of linear differential equation then we…

Q: (1) 3 dy + y = dx 3 Find the general solution to: 1. -

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Q: dy .Solve the initial value problem +2y=e", y(0) =-1. dx

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Q: The general solution of y" - 2y' +y= e* cos(x) is

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Q: Q.4 Solve the differential equation . d*y d³y d²y dy + 4 dx* dx³ dx² dx

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Q: Find the particular solution of the initial value problem: dy 3x2(y? + 1), dx y(0) = 1 %3D

A: We can find the answer as below.

Q: The degree of the differential equation dx2 1+2) = 0 is %3D dx. a. 2 b. 1 C 3 9 P

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: e the differential equation by th 1. dy_ x + y dx 2. – a² .2 dy y? – x?

A: Multiple questions:Since you have asked multiple questions, we will solve the first question for…

Q: Solve the Bernoulli equation: x2 dy/dx -2xy = 3y4

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Q: Solve the initial value problem dy + X, x > 0; y(2) = 0 x3 dx

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Q: dy – xy = x, y(0) = 2 ху —D У (0) %3D2 dx

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Q: Find a general solution to the given differential equ y"+5y'+ 6y = 0

A: topic - differential equation

Q: What is the degree of the differential equation? d²y dy 1 2 %3D `dx' dx2 2 3 4

A: Given differential equation is dydx12+y2=d2ydx2......1. We have to find the degree of the…

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: cos (2t + ) dt e21-3 -3 e 4 64e3 7 e-3 4 7 e3 4

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Q: The differential equation d²y +72 + 6y = 0 has auxiliary equation dæ? dx with roots

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Q: The degree of the differential equation 7 d*y sin = x2 is dx4 O 4 O 7 not defined O 3

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Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: Solve the initial value problem.

A: Given differential equation is: dydx=3x+23 ; y0=1 We have solve the above equation. Then we get,…

Q: Solve the Bernoulli equation dy *+y = xy

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Q: 1. Find the general solution of dy dx +y=x

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Q: dy Q3. Solve the following D.E : 3x -y = In x+1, dx x. > 0

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Q: The Degree of the differential equation: d²y dªy V dæ4 sin x is_ dx? O 2 O 4 O 1 O 3

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Q: Find the general solution of (x + e – 1)dx – e'dy = 0

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Q: Find the particular solution for initial value problem.

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Q: Solve the Differential Egp 2 d dy +3 da? d a

A: From the given problem:   2d2ydx2+3dydx+4y=x2-2x We can simply write as:…

Q: What is the degree of the differential equation dy = 5a4 – dr3 6x2 ? |

A: Clearly the exponent of (dy/dx) is 3.

Q: The degree of the differential equation: 5 d²y In x = 0 is | dx? O 5 O 2 O not a polynomial O 4

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Q: 1. (2x – 3y + 2)dx + (2x – 3y + 1)dy = 0

A: Solve First order Differential equation, using substitution method

Q: Please help. State P(x), Q(x), and integrating factor v(x).

A: Given,

Q: Question 1 Prove that 4 = ucy)e is a Solution for d24 - y°4 = 0 dy?

A: Given differential equation is d2ψdy2-y2ψ=0         (1) We have to check ψ=u(y)e-y22 is the solution…

Q: dx Solve the first order homogenous equation ху dy 2y – x²

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Q: What is the order of the differential equation? d³y dx3 4 + 6y = 3 dx, 1 O 2 4

A: Solution

Q: Example 5: dy Find the particular solution of, y(1+x²)÷= 2x(1 – у?); y(0) = 0 dx

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Q: 4. Solve the Bernoulli's equation dy +2xy– y' =0. dx (MAT300/OCT2008/8M) 1 1 Ans: 14 +c or 5x 4 + cx…

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Q: Relying on the linear differential equation method, find the general solution dy 1 0. 2x – y? |3D dx…

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Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN dx ?

A: We are asked to find the δNδx

Q: Find the general solution of the differential equation g below: У(х — бу) dx — х (2х — 9у) dy %3D 0

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Q: Q2: Solve the differential equations: dy y %3D = tan y 1- dx

A: As it is a multiple type question , so I am just solving the first one 1) The differential equation…

Q: If we solve the DE y dx + 2x dy =0 after converting it to Exact using an integrating factor, then…

A: The solution is Option 4  2.x12.y =c

Q: Solve using separable differential equations dy — 8x3е 2у, when x %3D 1, у %3D 0 dx = 1, y = 0 ||

A: In this question we have to find the differential equation.

Q: 4. Find the general solution of this DE using INSPECTION. dadx + aydy +(X² + y?)dx = 0

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Q: (2xy +y) dx + (x²- x ) dy = 0

A: Given: (2xy+y)dx+(x2-x)dy=0, y(0)=e

Q: Given the differential equation (ye *– sin x) dx – (e¬*+2y)dy=0, what is the value of f'(y)? A – 2y…

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Q: Find the general solution of D.E. below: (x-2y) dx + (2x+y) dy = 0

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