The differential equation 3** ty" can be made exact by using the integrating factor dx 2xy Select the correct response: 1 x2 O x2 y? 1 y2

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y=ae +be¯ª.

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Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: Show that if P(x) #0 the differential equation y' + p(x)y = f(x) is not exact differential equation.…

A: y' + p(x)y = f(x) can be written in the appropriate form dydx + p(x)y = f(x)  ⇒dy +p(x)y dx = f(x)…

Q: 2. Form a Differential Equation for the given equation y = 2 cosx + 5 sinx by eliminating the…

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Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

Q: y' = y²-y ху?-у

A: The given differential equation is  y'=xy2-yx     It can be re-written as…

Q: 3. Find the general solution y = Yc + Yp to the differential equation. Use the uppercase letters C…

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Q: Solve the differential equation with appropriate method. Express final answer free of fractions and…

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Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

Q: 5. Differentiate ax² + b to the – power. 6. If y = x (In x), find d²y / dx².

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Q: x3+ xy² + y)dx + (y³-

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Q: The universal solution of the differential equation below may be found by substituting y=zx. Hence…

A: Given that                       x2 dydx = y (x+y)   hence we have to find the solution of d.E

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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Q: y = -CI cos 3x + C2sin 3X

A: Given, y=c1cos3x+c2sin3x We have to find the corresponding differential equation by elimination of…

Q: Solve the differential equation Integrating Factor by Linear Equation: (xy² + x²)dy + xydx = 0 %3D

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Q: Use the procedures developed in this chapter to find the general solution of the differential…

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin x…

A: Eliminating arbitrary constants a & b using derivatives.

Q: y = 2xy -x

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Q: The solution of the given differential equation for y(1.5) is h=0.1 interval value. Calculate by…

A: Euler's method uses the formula, yn+1=yn+hf(xn,yn) to perform the iterations.

Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

Q: (x² + y²)dx – xydy = 0 %3D -

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Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin…

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Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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Q: (5) Solve the differential equation by dy variable separable x°y- csc y dx

A: Using method of variables separable.

Q: x + ( 1+x)y = e -× sin2x dx

A: The solution is given as

Q: 21. Find particular solution of the differential equation- 2(x + 1)³ = dx (x+1) Y , given x = 0,…

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Q: Solve the higher differential equation below; yiv - y = 2 cos x

A: The given differential equation is yiv-y=2 cosx The auxiliary equation is  m4-1=0. On solving,…

Q: verify that the given equation is a solution of the differential equation.(elimination of Arbitrary…

A: The solution is given as  y=-cos(x) ln(sec(x)+tan(x))                   (1) Differentiate equation…

Q: Solve the differential equation for y if (1+9x²) dx %3D

A: Here we have to solve the differential equations,  1+9x2dydx=1.................................(1)

Q: Find the general solution of the differential equation = 6 tan(5y) using separation of variables. dx…

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Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: verify that the indicated function is an explicit solution of the given differential equation…

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Q: 3. x? = Axy + By: A and B are arbitrary constants

A: Given: x2=Axy+By, where A and B are arbitrary constants.

Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: 3. ydx+(1+x)arctanx dy= 0

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: y = (xy - v)/x

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Q: Solve for the Differential Equation (Use Variable Separable) xydx-(x+2)dy=0

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Q: Particular Integral for the differential equation (D² + 25)y =(cos5x) is given by a. -xsin5x 5 b.…

A: Option; b is correct.  Given differential equation ; (D2  + 25 )y  = cos5x Let D = m; Auxiliary…

Q: y' + 2y = cos(2x)

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Q: Solve the differential equation by variation of parameters. y"+ y = sin(x) %3D x cos(x) y(x) =…

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Q: 1. Integrate: (7 x' + 3x?) dx

A: Topic - integration Note - as per bartleby Guidelines ,we are supposed To solve first question as…

Q: ry"-3xy' +4y=x'Inx

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Q: Solve the given differential equation by separation of variables. ds dr = KS

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Q: The differential equation formed by eliminating arbitrary constants a and b of y = 9 a sin z + b

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Q: xy²-y y' %3D

A: Given: y'=xy2-yx

Q: Write the general form of Cauchy-Euler differential Equation. Solve the follow- ing differential…

A: General form of Cauchy-Euler Differential Equation. The differential equation…

Q: Solve the differential equation = 4x+3y by using the substitution u = Ax+ By+C. The resulting…

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Q: Find the general solution to the differential equation. Show al of your work please! y''-9y=(x^2…

A: Given differential equation y''-9y=(x^2 -2) sin(3x)

Q: Use Teller's method to Solve the differential equation y-X JJ when h=0-2 s y(1)=2 Use The fifth rank…

A: We can solve this using Taylor method