An isolated bar is kept at zero temperature at its ends. If it's given initially 02y ax2 temperature, f(x) = 100°C, a² = equation u (x, t) is equal to: so the bar temperature %3D ax u (0, t) u (L, t)

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A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx -…

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A: We have to find the general solution of the differential equation by using a variation of parameter…

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Q: y'=loga (Zy -4y +5) %3D by U =Zx-4y +5 7(2)

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A: we have given a first order differential equation with piecewise function P(x) we need to find a…

Q: 1.Solve the given problem W = f(x, y, z) = 3x²y+ yz² + 2z³ fxis equal to ? fyis equal to ? fzis…

A: Follow next step

Q: HW/ solve the simultaneous D.Es. using L.T. y'+z =t, z'+4y = 0, y(0) = 1, z(0) =-I,

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A:

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Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

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A: We will find out the required general solution.

Q: Find the solution to the Bernoulli equation. y = 2(3x+ y)2 – 1; x= 0,y=1 O 4tan-1(3x+ y) = 8x + T…

A: The solution is given as

Q: Find the general solution of the equation xy' = ky that is valid for x > 0.

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A:

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A: The solution is:

Q: An isolated bar is kept at zero temperature at its ends. If it's given initially temperature, f(x) =…

A: First of all the question has a small error in place of (dt) (dx) was printed. Which I had corrected…

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Q: Solve for general solution using Bernoulli method x?y dx + (1+ x³)dy = 0

A: x2ydx+(1+x3)dy=0dydx+(x21+x3)y=0.which is in the form of burnouli's equationdydx+Py=Qynhere P=x21+x3…

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A:

Q: 1- , L, v² e*dydx 2- S S マーーー ydxdzdy a>0

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

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A: Given that: y=1(x+C)

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A:

Q: Solve the equation. 3x²y¯1 )dx + (2 – 4x°y¯2)dy = 0 :- An implicit solution in the form F(x,y) = C…

A: We have given 3x2y-1dx+2-4x3y-2dy=0 If we take M=3x2y-1 and N=2-4x3y-2 Then, ∂M∂y=-3x2y-2 and…

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A:

Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

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Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

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Q: Use Separation of Variables to solve the initial value problem. dy : (1 + y²) tan z, y(0) = v3 xp

A: solution of the given equation is tan-1y + log(cos(x)) = π3 detailed solution is given below

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Q: V4 – a2 - x2 valuate f, S Sva-a - ° ( + 2²) kz dz dy dæ – a2 – 3y? (y + z2) kz dz dy dx

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Q: Use variation of parameters to obtain the general solution. y''+4y = 4 sec2x

A: The given differential equation is; y"+4y=4sec2x.

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Q: Solve the bernoulli's equation x(6x^2−y−1)dy +2ydx =0.

A: The given Bernoulli’s equation can be written as:

Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

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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.