Find the differential of y² + x = 4.

Q: Form the differential equation by elimanating the arbitary constant A,Bvfrom y=Ae7x+Be-7x

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Q: Determine the differential equation that is satisfied x2 + y2 + 2ax + 2by + c = 0

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Q: 5x y = C, + C2e4x 4

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Q: Is y'' = sin x a linear differential equation?

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Q: Solve the differential equation by variation of parameters. -t y" + 2y' + y = et In(t) y(t) =

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Q: Determine the differential of the function y=x3−3x2+4x at the point x0=1 when dx=0,1.

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Q: Write the the differential equation by separating the variables. - = x-y dx

A: Solve the following: dydx=x-y .................. (1) Let us put, x-y=t Differentiating both sides…

Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t)

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Q: y' – y = 2te',

A: Laplace transform: L(y'(t))=py(p)-y(0) L(y(t))=y(p) L(2tet)=2(p-1)2

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t) y(t) =

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Q: Find the differential of the function y=√x3+4x at x=2.

A: Given the function:

Q: Calculate the differential of the function y=x5−7x3+5x at the point x=2 when dx=0,2.

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Q: у dx — х? dy %3D 0

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Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: Solve the differential eqyations y" – y'+6y =e -2x

A: Differential equation problem.....

Q: Obtain the differential equation y = x^2 +Ae^2x +Be^3x

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Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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Q: Verify that y(x)=exsinx is a solution to the differential equation   2ycotx-d2y/dx2=0

A: Consider the given solution to the D.E. Differentiate it w.r.t x twice to get the double derivative…

Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: Solve the differential cquation d'y by using the method of variation of parameters.

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Q: y' – 4y = –1et and y(0) = -2.

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Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

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Q: Calculate the differential of the function y=2x x2−3 at the point x=3 when dx=−315.

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Q: Find the differential equation of dy/dx = x+y/x-y

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Q: of the differential equati

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Q: Find the solution y(t) by recognizing the differential equation

A: Given differential equation - y' = 6300-yWe can write it as - dydt = 6300-ydy300-y = 6dtIntegrating…

Q: y(4) + 8y″ + 16y = 0

A: Given, y4+8y''+16y=0

Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: Find the differential equation having the solution as: a. y = C,e¬x + C2e¬2x + x b. y = C, + C2e³x

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Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Find the differential d5y of the function y=lnx2.

A: y = lnx2 = 2lnx

Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = 8 1

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Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: Solve the differential equation using Variation of Parameters (D² – 2D + 1)y

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Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

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Q: Find the differential of each function.  y = s/ (1+2s)

A: The given function is y=s1+2s To find the differential equation for function y, Since the given…

Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Solve the differential eqution y'-y=7e^x

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Q: Find the differential of the function f(x) = (x+4)^(1/2) dy =

A: Find the differential of the functionf(x) = (x+4)^(1/2)

Q: Find the differential given: y=(1+x) y%3D

A: Given,            y=1+x4

Q: Find the differential of the function. u = 2x + 7 du = %3!

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Q: To use differentials to approximate V8. You would use x = and dx

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Q: Determine the differential equation of the family of lines passing through the origin O ædx + ydy =…

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Q: find the general solution of the differentialequation and check the result by differentiation.dy/ dt…

A: The given differential equation: dydt=x32 Integrate both sides of the differential equation with…

Q: If y = 5x2 + 2x + 9 , find the value of the differential dy as x changes from 3 to 3.1

A: Given, y = 5x2 + 2x + 9Differentiating with respect to x;dydx = 10x + 2At x = 3, dydxx = 3 = 10×3 +…

Q: b. y = C, + Cze3*

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Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t) =

A: Given : The given differential equation is y''+2y'+y=e-tln(t). To find: The solution y(t) for the…