x²y' + 2xy = In x, У(1) 3D 2

Q: [1+ ytan(xy)]dx + xtan(xy)dy = 0

A: GIVEN: [1 + y tan (xy) ]dx + x tan (xy) dy = 0

Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

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Q: order linear differential eq 22. y'+ 4y = x

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Q: Solve for the differential of y when y = sinæx, x=-, and dx=- 3 2 4 4 -iN

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Q: Find the differential of the function w=x^5sin⁡(y^5z^4) dw=  dx+  dy+  dz

A: Differential of a function is simply the derivative of a function. Also, d(uv) = u.dv + du.v

Q: find the differentials of the first and second orders u=xyz

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: Find the radius of curvature of y = x^3 at the point (1,1). (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: Proceed as shown below...

Q: Classify the differential equation as separable or linear (1+2*); dy = 4y dx

A: To classify the differential equation as linear or separable.

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: 5. Cx sin y +x²y = Ay

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Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: Use integration to find a general solution of the differential equation             dy/dx = ex/(4 +…

A: Given ,           dydx=ex4+ex

Q: Use integration to find a general solution of the differential equation.

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Q: Is this polynomial, x In x – y In y - a homogeneous differential equation?

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Q: Solve the differential equatons x(2y + In ax) dy + (x+y)dx when x=3 y=Ź y= 2 1.

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Q: fx' = 9x + 7y ly' = 2x + 2y

A: We see that x'y'=9722xy. 9722The eigenvalues of A are the roots of the characteristic equation…

Q: Use integration to find a general solution of the differential equation       dy/dx = (6 − x)/3x , x…

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Q: Show that y, = x* – x² Inx over the interval (0, 0) is the particular solution to the…

A: (C) Given differential equation is x2y''−4xy'+6y=2x4+x2....1 We have to find the particular solution…

Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: show that 2 = ar²+by ³ and z = ax³ + bx²y + cxy² + dy give 4 same differential rise to the egn.…

A: Introduction: When a multi-variable function is provided, one can for a partial differential…

Q: Make the Non exact differential equation xy dx+(3y^2+2x^2−20) dy=0 to an exact differential…

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Q: Find the differential dz of the function f(z, y) = 4g²+z*y – 2xy and use it to approximate Az at…

A: Consider the given information:

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

A: Differential equation problem.....

Q: 3) Find the solution af equation that satisties the qiven mitial condition. of the differential L0…

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Q: 1. Find the total differential of the ff. at (1, -2).

A: The given function is f(x,y)=xy2-3y+2

Q: By using Laplace transform to solve y" + y = e with y (0) y (0) = y" (0) = 0, what would be Laplace…

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Q: Use separation of variables to find the solution to the differential dy 0.3(y – 300) if y = 60 when…

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Q: Use a technique of integration or a substitution to find an explicit solution of the given…

A: Cross multiply first to take x terms on a side and y terms on another side. Then integrate both…

Q: Find the total differential w = x2yz2 + sin yz

A: Partially differentiate w = x2yz2 + sin yz with respect to x and keep y and z as constants.…

Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: (y') ² + (x-2x^-½) y'+ x^-1 - x^½= 0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the second…

Q: Find the general solution of the differential equa- tion / - a?y = -x - xy, %3D where |r| < 1.

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Q: Use variation of parameters to find the general solution of the differential x²y" - 5xy' + 5y = 4x…

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Q: Use separation of variables to find the solution to the differential du equation 8 = u? if u(0) =…

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Q: Find the general solution of'the differential equation and check the result by differentiation. (Use…

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Q: find the total differential dz. xety

A: dz=∂z∂xdx+∂z∂ydy ----&gt;1Consider z=xex+ythen∂z∂x=ex+y+xex+y∂z∂y=xex+y

Q: Use integration to find a general solution of the differential equation                  dy /dx = x…

A: Given: dydx=x1+x2 Multiply both sides by dx dy=x1+x2dx

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2

Q: Find the differential dy when x = 3 and dx = 0.2 %3D

A: When you get function of function form to differentiate, we use the chain rule. y = f(g(x)) dy/dx =…

Q: Consider the nonhomogeneous differential equa 1 "(x) + y(x) = e '+ sin a

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Q: Evaluate the curve f(x, y) = 0 which passes through the point (0,4) and satisfies the differential…

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Q: What is the slope field of a differential equation y' = ƒ(x, y)? What can we learn from such fields?

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Q: Derive a differential equation for the orthogonal trajectories of the family of curves xy c %3D

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