Solve x³y"+6x²y"+4xy' = 0.

Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: Which curve solves the differential equation and passes through the point (0,1)?

A: Using variable separable for solve differential equation.  Let -x2=t then taking integration on both…

Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: Please solve the differential equation yı=6x+10x4+12e3x+7/x5

A: We have to find the general solution of the differential equation dydx=6x+10x4+12e3x+7x5. It is a…

Q: dy (10) (8у — х?у)+x- ху? — 0 dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

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Q: 3x2y +y2 2x3+ 3ху dy

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Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: 2 cosh(2x) – sinh(2x) = 2

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Q: Find the 3rd derivative of y = xlnx. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A: Given : f(x) =y= x lnx To find : Third derivative of given function

Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

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Q: Solve y''-2y'+2y=ex+cosx

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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Q: Solve the differential equation by variation of parameters. y" - y = cosh(x) y(x) =

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Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: Solve the differential equations by any appropriate method and indicate the method you have…

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: Solve using the undermined coefficient of differential equation

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Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: solve y′′+ 9y = sin^2(3t)

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Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

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Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

Q: y² = 14eax-

A: Given y2=14eax

Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

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Q: equation

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Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: #1. ( sin2r #2. rp- sinz 13. L #4.

A: To solve the given integrals we must know about the power rule of integration and trigonometric…

Q: Solve 3x^2-Siny=0, xy^2-x^3+7=0, initial point (-1,2) .

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Q: Solve the differential eguation 3-

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Q: 2. xy' - y = y cos 3x

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Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

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Q: Jam sin(10x) dx

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Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

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Q: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

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Q: equation

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Q: Determine which differential equation is linear:* (tan 2x)(")+(x-23)(»")' = In.x

A: A differential equation is linear only if it satisfies the conditions below. The degree of the…

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are

Q: SOLVE: (y cosx +2xe")+(sinx +-ng'= 0 COS X

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Q: 5- y = 1+sin(4x2 + 2)

A: Note - As per our guidelines we will solve first question only and rest will reposted.  ddxxn =nxn-1…

Q: SVx² + 10x + 25 dx. (cos4*x – sin4*x)dx dx

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.