dy y3 dx x3 + xy² II

Q: show that each function y = ƒ(x) is a solution of theaccompanying differential equation. y' = y2 y =…

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Q: (xy² + x²)dy + xydx = 0 %3D

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Q: Determine the constant A such that the differential equation (Ax²y + 2y²)dx + (x³ + 4xy)dy = 0 is…

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Q: Determine whether given differential equation is exact. If it is, find the solution. (5x + 4y) dx +…

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Q: Determine whether the differential equation (8x² − 2xy + 4) dx + (4y² − x² + 8) dy = 0 is exact. If…

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Q: Check whether or not that 1- Ae* y = 1+ Ae* is a solution to the differential equation, dy ** -1).…

A: Check whether the given solution is a solution to the given differential equation or not.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Explanation of the answer is as follows

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 2. Solve the differential equation dy _ 2xy² + 1 %3D dx 2x²y

A: This is Bernoulli differential equation

Q: Determine whether the differential equation (2x² − 2xy + 3) dx + (2y² − x² + 2) dy = 0 is exact. If…

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Q: Determine if the differential equation (3x2y + ey)dx +(x3 + xey - 2y)dy = 0 is or is not exact; if…

A: Given problem:- Determine if the differential equation (3x2 y + ey )dx +(x3 + xey - 2y)dy = 0 is or…

Q: Determine whether the differential equation (5x² - 2xy + 6) dx + (7y² - x² + 5) dy = 0 is exact. If…

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Q: (e" + 1)²e¯» dx + (e* + 1)°e¯* dy = 0

A: On simplification, we get

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 2. (2xy + x)dy – [x² + y² + y + 1]dx = 0 When: x = 1;y = 0

A: The given differential equation is: 2xy+xdy-x2+y2+y+1dx=0 Solve for the particular solution of a…

Q: Solve the differential equation Dy/dx = 2xy²+1/2x²y

A: Solve the differential equation Dy/dx = -2xy²+1/2x²y

Q: test whether the differential equations are exact and solve those that are. (x-y) dx + (x+ y) dy = 0

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Q: Determine whether the differential equation (5.a2 – 2xy + 4) dr + (2y² – x² + 5) dy = 0 - is exact.…

A: The given differential equation is 5x2-2xy+4dx+2y2-x2+5dy=0

Q: Find the solution to the differential equation below such that y(0) = 8 y' = 8xy – 2x - y(x) =

A: Given: y'=8xy-2x    , y(0)=8 Taking y'=8xy-2x ⇒y'-8xy=-2x To make calculation easy multiply both…

Q: Find the implicit general solution of the differential equation given. Assume x and y are non-zero.…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Determine whether given differential equation is exact. If it is, find the solution. 3y (x² – 1) dx…

A: Let's find.

Q: Determine whether the differential equation (5x + 7) + (5y – 5)y' = is exact. If it is exact, find…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: In this question, first we have to determine whether the given differential equation is exact or not…

Q: Solve and find the domain for which the differential equation is defined: dy/dx = (y2-xy-x2)/x2 ,…

A: Given, The differential equation  dydx = (y2-xy-x2)x2 and y(-3)=-6  We have to solve the…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Determine whether the differential equation (7x² − 2xy + 2) dx + (4y² − x² + 7) dy = 0 is exact. If…

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Q: Determine an appropriate substitution and then solve the differential equation. xy' = y In(xy) Cx-1…

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Q: The degree of the differential equation (y") +y' – y = x is а. 2 с. 1 h no decree

A: We are asked to find the degree of the differential equation.

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b + x)+ 59.

A: Given that: y2=a(b-x)(b+x)+59

Q: (2xy + x² + x*)dx – (1+ x²)dy = 0

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Q: dy + 3y = 3x²e-3x dx

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Q: Verify that y = c,e* + c,e* is a family of solutions of the differential equation y" - 6y'+ 5y = 0.…

A: Find out y' and y'' and substitute values into the given equation and verify whether the equation is…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given that 7x+3ydx+3x-8y3dy=0

Q: solve the differential equation: (Pe²y – x)dx = 2e²y(e²y + Px)dy with explanation

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Q: Show that the Differential Equation is EXACT and then solve it. 2. (cos2y - 3x2y2)dx + (cos2y-…

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Q: 4 dx d*y d³y 8 d²y + 16 dx² 12y dx dx3 + 9 y = 0

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Q: Solve the differential equation: x(1+ y²)'/²dx = y(1+ x²)/?dy

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Solve the given differential equation by undetermined coefficients. y"' – 3y" + 3y' - y = x - 3e*…

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Q: a. Find a particular solution to the nonhomogeneous differential equation y" +4y' + 5y = -10x + 5e…

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Q: Get the differential equation. xy²dy = (y³ – x³)dx (Highlight the result of substitution, result of…

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Q: (y* – 2xy)dx + 3x?dy = 0,x = 2, y = 1

A: Given: y4-2xydx +3x2dy =0 Rearrange the terms ⇒y4dx +3x2dy -2xy dx=0 ⇒y4dx =2xy dx-3x2dy

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Check that the differential equation is exact and find general solution (2 + yexy)dx +( xexy –…

A: First we will find the values of M and N by comparing given differential equation with Mdx+Ndy =0…

Q: Determine whether the differential equation is exact. If it is exact, find the solution. (8x² − 2xy…

A: Comparing the given differential equation with the general differential equation Mdx+Ndy=0 we get,…