find The exact solutions or equation:- 1) Cy lny - e) dx + +xln xy dy = 0

Q: Solve the following using exact equation or linear whichever is applicable. (2xy − 3x²) dx + (x² +…

A: We are given: (2xy − 3x²) dx + (x² + y) dy = 0⇒M=2xy − 3x²⇒N=x² + y ∂M∂y=2xand ∂N∂x=2x Hence, this…

Q: Find the roots of the equation: d³ y 4. dx3 dy 13 — +бу dx -

A: 4d3ydx3-13dydx+6y=0we have to find the roots of the equation

Q: Solve as required : Given : Z = 3x?y³ – 4x*y? From the given, solve the following: Əxðy dx²Əy 2. 1.

A: It is given that, z=3x2y3-4x4y2. 1. Find ∂2z∂x∂y as follows.…

Q: Given the equation dx + xydy = y°dx + ydy . solve for the solution when x = 3 and y = 0

A: Method of solving differential equations (Separation of variables): It is not always possible to…

Q: 4. y(x? + y) dx + x(3x?- 5y) dy 0; x =2, y=1

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

Q: 1. y+13 dy-

A: the given integral is ∫y+13y+1y+3y-2dy Substitute  u=y-2→y=u+2du=dy the integral reduces to…

Q: Solve the equation (6x + y?) dx +y (2x – 3y) dy = 0. -

A: Given,  (6x+y^2)dx + y(2x-3y)dy=0

Q: Match the mathematical statement and the steps to arrive the correct answer of the given DE…

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Q: Solve the following aifferen tial equations |. x* dy = (4x* +5xy +y*) dx 2 2x + y X -24 2. dy dx

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Q: Find the solution. 2y dy =x?y²sinx dx

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Q: Solve the following equation: ye®Y dx + (xe*Y + 2y)dy = 0 1. xe®Y + 2y? = c xe®y + y? = c 3. ey +…

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Q: Given that x- y2 = 9, then dy/dx =||

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Q: 8. (e* sen y + 3y) dx – (3x – e* sen y) dy = 0 %3D

A: Exact differential equation

Q: 3 y = (₁ ² +1) ² Gi Find 13y dx²

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Q: NOTE: Enter the exact answer. yz dx dz dy -180 J–120

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Q: Solve for the general solution of the following equations: dy _Y = y е. dx

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Q: Q1. Solve the following first order equations: (b) (e* + y)dx + (2+ z + ye")dy = 0, y(0) = 1. %3D…

A: EXACT DIFFERENTIAL EQUATION,

Q: if y = (3x? + 4x – 7*)e, then dy/dx is:

A:

Q: d?x + X = secy dy?

A: We have to find the general solution of the given differential equation d2xdy2+x=secy .

Q: Solve the following equations: dy dy 12 dr2 9. +4y 0; y(a) -0. y(x)-2 210 da

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Q: Determine whether the following equations are Exact and, if so, solve them. (y + 2xy3)dx + (1+ 3x²y²…

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Q: - one 2y(y? – x)dy = dx

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Q: Given that y = (a + bx)e¯* where a and b are constants, show that d²y + 2 + y = 0 dx2 dx

A: Given equation is  y=(a+bx)e^-x

Q: dy et-y dx 2.

A: The given problem is to solve the given differential equation using separation of variables method.

Q: e.Find the solution of equation (29) by replacing v by y/x  dy/dx =( y − 4 x)/( x − y) .

A: Given differential equation is dydx=y-4xx-y Given equation is homogeneous differential equation.…

Q: dy 1 3x? 1. %3D xp 1+ X' 1+ X?

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Q: (y2+yx)dc+x?dy=0

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Q: ay - 3y = x*; dx

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: d?y 2x + 2y = x*e* dx2

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Q: d³y d?y dy dx3 dx3 - y = 4 sin x dx

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Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: B. Determine the solution set of the following equations using exact equations. 3. (y? – 2xy + 6x)dx…

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Q: C: 2 +xy y?e2 sin x dx

A: The given differential equation is a Bernoulli ODE of the form y'+p(x)y=q(x)yn, whose general…

Q: Solve the equations and simplify the final answer. 1. (x + y- 1) dx + (2x + 2y +1) dy = 0

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Q: Solve for the general solution of the following equations: y(4x + y)dx – 2(x² – y)dy =( а.

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Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the solution

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Q: Use the substitution v = y² to simplify, and then solve, the equation dy xy dx 2y? = x.

A: First I have made the substitution and simplyfy them and then  using the rule of first order linear…

Q: Solve the deferential equations dy x2. = xy – y? dx

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Q: Given the set of equations dx = y + sin y , y = (z – e²)? Which of the following is dx/dz? The…

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Q: Find the point of intersection and solve the equation (x − 4y − 9)dx + (4x + y − 2)dy = 0

A: The given equation is x-4y-9dx+4x+y-2dy=0. The equation of the straight line are x-4y-9=04x+y-2=0.…

Q: Solve the following exact equation   (y+ 2xy³) dx+ (1 + 3x²y² + x) dy = 0

A: The given equation is y+2xy3dx+1+3x2y2+xdy=0. The equation is of the form Mx,ydx+Nx,ydy=0 where…

Q: 5. (1+ y² + xy²)dx + (x²y+ y + 2xy)dy = 0

A: The differential equation is given as 1+y2+xy2dx+x2y+y+2xydy=0 Compare it with Mdx+Ndy=0 Here M =…

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: 1. Solve the following first order equations: (b) (e² + y)dx + (2+ x+ ye")dy = 0, y(0) = 1.

A: Solution

Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

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Q: B. Determine the solution set of the following equations using exact equations. (1 + y? + xy2)dx +…

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Q: Solve by making the equation into an exact equation. (2 – x - y) dx + (3 +x + y) dy = 0

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Q: 11. (x In y + xy) dx + (y In x + xy) dy = 0;

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Q: If x² + d'y y? = 1, then dx?

A: Given that: x2+y2=1 To find : d2ydx2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.