[The following initial value problem is defined with an exact differential equation. If the solution of this problem satisfies y(1) = B, evaluate 932 – 4B+ a]. | (18xy² + ax²y)dx + (18y – 4x)x²dy = 0, ly(-1) = 1. |3D -

Q: b).Solve the differential equation - 22 - 3y = 4x – 5 + 6xe²× by method of undetermined coeficients.

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Q: solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0 b) (3…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: a. (2ry*e + 2xy + y) dx + (r²y*e -x²y² – 3x) dy = 0; when x = -1, y = 1

A: As per our guidelines we are supposed to answer 1st question only. Please repost rest questions...…

Q: Find the differential equation of the following function (x – 2)dx + 4(x +y – 1)dy = 0 a. 2(y + 1) =…

A: Let's find.

Q: dy %3D ху + 3х — 2у — 6 dx -

A: We have dydx=xy+3x-2y-6 Now, we can write it as…

Q: Solve the differential equation: (x + y)dx + (x + y²)dy = 0 By using the exact equation.

A: Firstly we comparing the differential equation with P dx+Q dy =0 then we check it is exact or not…

Q: Find the general solution of the differential equation: dx/dt = 5x - 3. (1/5)[In(5x + 3)]= t + c O…

A: Given that: dxdt=5x-3

Q: When the constant" c" is eliminated in the relation 2y² + 2xy = cx², Which of the following is the…

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Q: Find a differential equation from the equation y =C,e¨* +C¸ xe*.

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Solve the following ordinary differential equation (ODE) using finite-difference with h = 0.5…

A: Given data d2ydx2=1-x5y+x  ,   y(1)=2  ,  y(3)=-1 h=0.5find y(2.0)=?

Q: Solve the given differential equation by undetermined coefficients. y"+2y=-18x²2x

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Q: Solve the separable differential equation dy dx 11x - 4√ x² +1 Subject to the initial condition:…

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Q: 1. Solve the differential equation (3xy-3y²)dx + (x2 - 3xy)dy = 0 %3D

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Q: [2x*yžcosx² – 2x*yå + x/5]dx + [x/5stnx² - x° /9]dy = 0 3 2x²yz + x [x/ysinx? – x³ /y]dy = 0 -

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Q: 1. Describe and solve each first-order equation. 2 2 (a) x²y'=xy²+3y² (b) y'+3y=3t²e-30

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Q: What must the constant A be for the differential equation (4x2y+2y2)dx + (x3 + 4xy)dy = 0 to be…

A: To determine the constant A for the given differential equation to be complete, we need to check if…

Q: Find the differential equation of the following function (x + y – 1)dx + (2x + 2y + 1)dy = 0 a. x +…

A: Given differential equation is  (x+y-1)dx+(2x+2y+1)dy=0

Q: a) Solve the exact differential equation x-2 dy dx subject to the condition that y 1 4 -2x (x > 0)…

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Q: 2 1) Solve : (D² − 6D+9]y = x²e³x cos2x -) Solve : (x² D² − xD + 4)y = cos log x + x sinlog x :)…

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

Q: Q1. The given equation (x? + 2xy - y²)dx + (y2 + 2xy-x²)dy 0 is not an exact differential equation,…

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Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.