(6x²y + 4xy² + y³3) dx + (2x³ + 4x²y + 3xy² – 24y³) dy = 0 ; y(-1) = 1

Q: Solve for the general solution of the following differential equations. a. y' = x3 – 2xy b. y' = x -…

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Q: Find the general solution of the given differential equation: x²y" – 4xy' + 6y = 0

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Q: Solve the following first order differential equations Use any method: 4, 2x dx - 3xy dy 0, y(1) 0

A: First order differential equation, 2x2dx-3xy2dy=0 , y(1)=0 Given, y(1)=0…

Q: 8- (1+y*)dx+ (2xy + y² +1)dy =0

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Q: (x² + 2xy – 4y²) dx – (x² – 8xy – 4y²) dy = 0 - -

A: Consider a differential  equation M(x,y) dx+N(x,y) dy=0 then Check if the power of each term in…

Q: Find the solution of the following Differential Equations .by Exact 4) 2.xIn(y)dx+ y'x'dy 0

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Q: 2 y²dx + xydy = 0

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Q: Solve the following differential equations using any of the methods (9x² + y − 1) (4y - x)y' = 0

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Q: (1 – xy)-²dx + [y² + x²(1 – xy)-2]dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact. If ∂M∂y=∂N∂x. So, the solution of the…

Q: Find the general solution of the given differential equation: x²y" – 4xy' + 6y = 0 %3D -

A: We are given Euler-Cauchy homogeneous differential equation of second order with variable…

Q: Solve the differential equation of the following (x-3y+2) dx + 3(x+3y-4) dy = 0

A: The given differential equation is  (x-3y+2) dx + 3(x+3y-4) dy = 0

Q: Solve for the general solution of the following differential equations: y' = -4xy

A: solve the equation

Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 20y = 100x² – 65xe*…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (3xy2 - y2)dx + (2x²y – 2y)dy = 0

A: It is a separable differential equation and explanation of the answer is as follows

Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

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Q: Solve the following differential equations using the method for exact equations. (5e^5y + 9y^2e^3x)…

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS BY OBTAINING A FAMILY OF SOLUTIONS: 3(3x²+ y²) dx − 2xy…

A: Consider the given:  The given equation: 33x2+y2dx−2xydy=0The function Px,y is said to be homogenous…

Q: Solve the following exact differential equations.   2x dx / y^3 - (y^2 - 3x^2)dy /y^4  = 0

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Q: Solve the following differential equation using Method of Undetermined Coefficients y"-2y"+2y'=4x,…

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Q: Apply the undetermined coefficients method to find a particular solution of the following…

A: Given differential equation is y''−y'−6y=25e3x......1. We have to find the particular solution of…

Q: Q1: Solve the following differential equations (A) 2xydx + (x² +8x+17)dy = 0 (B) y'-- 4 2x+1 - y = =…

A: According to our company policy we can only do three subparts at most of a question posted, if you…

Q: 1. Find the solution of the given differential equation using any method. y" – 3y' + 2y = 2x² + e* +…

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Q: (x²y3 – e3*)dx + (x³y² + y²e»*)dy = 0 exact %3D |

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Q: Solve the following differential equations of (2xy - 2y)dx+ (3x'y-4x)dy 0

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Q: Solve the following first order differential equation y' : x+1 , and give the y²+1 %3D ах+b solution…

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Q: Find the general solution of the given differential equation x²y" – 4xy' + 6y = 0

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Q: Find the general solutions to the given differential equations y' -  y = xe^2x + 1

A: The general solution of a differential equation is given by y·I.F=∫Q·I.Fdx+c

Q: x³y³dy у?-4y-21 3. (x - x*y)dy + (y + x³y²)dx :

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Q: Find the general solution of the following differential equation 3x(x + 6y)y' = 3y(x - 6y)

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Q: 2. (2x– 3y +1)dx - (3x + 2y – 4)dy = 0 |

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Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

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Q: Solve the given differential equation by undermiNed coeFFicients. 1. y" +6y +9y = -xe 4x

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Q: Apply the undetermined coefficients method to find a particular solution of the following…

A: Given DE is y"-y'-6y=25e3x.........(1)

Q: find the general solutions to the given differential equations y" – 2y' + y = x² - 1

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. y'- y=-xy x* +1 =-xy²

A: We have to solve using bernouli

Q: 3(4x?y + y2 + 6x) dx + 2x(2x2 + 3y) dy = 0

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Q: solve the following differential equations by obtaining a family of solutions: (x² + y²)dx + xy dy…

A: Let us consider a differential equation of the form  M dx+N dy=0 Check the exactness of the…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: 3) y"-5=3e"-2x+1

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Q: Obtain the solution of the following differential equation y"-4xy' +(4x² - 2)y = 0

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Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method.FULL SOLUTION x^3sec^2ydy –…

A: A detailed solution is given below

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given differential equation is,

Q: (e2y – 12x2) dx + 2xe2Ydy = 0 -

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Q: (6xy + 5e* – 2) dx + (3x² – 1) dy = 0 ; x= 0,y = -3

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Q: 2) 2(2x2 + y²) dx – xy dy = 0

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Q: Solve the following differential equations using the method for exact equations. (6x^2y + 4xy^2 +…

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Q: Find the general solution of the given differential equation: x²y" – = 0 5xy' +9y %3D

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Q: a-) 2xy dx +Cy²- x² ) dy = O

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Q: Find the general solution of the following differential equation. (6x + 1)y?y' + 3x² + 2y³ = 0

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Q: Solve the following differential equations: 1.) (x-2y+4)dx + (2x-y + 2)dy = 0

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