Problem 7 y = e- dt y/ =? 0.

Q: If the characteristic equation of the differential equation dy dy + y = 0 has two equal + 20 dx2 dx…

A: Quadratic Equation: A quadratic equation is an equation of degree 2. The standard form of a…

Q: xy dx + (1+ x²) dy = 0 ху

A: We have to solve

Q: Find the general solution of the differential equation and check the result by differentiation

A: Given differential equation -dydx = 2x-3             ............(1)Separating variables - dy =…

Q: 2x dy -y dx =x°y° dx

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Q: Determine whether the following statement is true or false, and explain why.

A: For a differential equation of the form dydx+P(x)y=Q(x), the integrating factor is given by the…

Q: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

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Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

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: Find the general solution of the differential equation with the help of lablace transform

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Q: (e* + y)dx + ( 2+ x+ ye' )dy =0

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Q: 5 sin“(3t) dt

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Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: Jse computer software to obtain a direction field for the given differential equation. Sketch an…

A: To plot the direction field for the given differential equation with an approximate solution curve…

Q: D. Solve the differential equation using Loaplace transform of y" + y = 6sin 2t ; when y(0) = 3 and…

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Q: dx + (1 – x²) coty dy = 0

A: Given differential equation is,

Q: Write the smallest differential operator that annihilates the given 3x +x²e + sin(5x) e3 sin…

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Q: Identify the differential equation that produces the slope field below. // ||// // 2.

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Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: This differential equation can be solved by? dy dx What is the integrating factor of: y2 dx + xy dy…

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Q: An important and very useful exact differential to (2y² +2x² +y]dx - xdy = 0

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Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: Compute dy/dx for the function. 5) y = In sinh 6x

A: topic- derivative of a function

Q: The particular integral of the differential equation (D² + 2)(D+3)y=2+sin² x + cos? æ is 6

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Q: Explain why the initial Value problem dy/dx=x-cos(y); y(1)=pi has a unique solution. For that…

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Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: The integrating factor of the differential equation 2xy dx + (4y + 3x^2) dy = 0 is . Does not exist

A: Ist question was incomplete I have to do the second question Please repost ist question correctly

Q: 5. With the substitution cosy == differential equations sin y dy – cosy(1 – x cosy)dx=0 reduced to a…

A: Substitute  cosy=1tNow differentiate it with respect to t,-sinydy=-1t2dtsinydy=1t2dt

Q: find the total differential dz. xety

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

Q: Find the equivalent differential equation for all tangent lines of the parabola y = x^2

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Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: By using variation of parameters, what is a possible value for u'1 for the differential equation y''…

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Q: 9. (x2 – 9y?) dx + (2xy) dy = 0; y(2) = -1

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Q: Show that the sine integral satisfiesthe (differential) equation xS'(x) + 2S''(x) + xS'''(x) = 0.

A: Given information: Sx=∫0xsinttdt To prove xS'x+2S"x+xS'''x=0

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

A: On simplification, we get Now integrating on both sides, we get

Q: If the integrating factor of the differential equation dy + py = q is sec³ x ,then the value of the…

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Q: 4: ystem of differential ec

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Q: dy + ytanx = y° sec° x dx

A: We have to solve given problem:

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: FRQ 2 A graphing calculator may NOT be used for the following problem. dy Consider the differential…

A: Given problem is :

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: By using variation of parameters, what is a possible value for u, for the differential equation y' +…

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

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