Solve the following first-order equations: d = 4x/y, with y(0) = 1 a.

Q: Solve this separable differential equation. y' = e-(2x – 4). 3.

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Q: If y = x2 – 2x and x changes from 2 to 2.01, find ∆y. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: 2) Determine the constant A such that the equation (x² + 12ry) dx – (Ar² + 8y) dy = 0 is exact and…

A: The differential equation P(x,y)dx+ Q(x,y)dy =0 is an exact equation if and only if…

Q: Solve the D.E 9+4y = Sec2X %3D

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Q: . Find the general solution of the first-order equation y? – 2ry dy dr

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Q: Solve the following D-E 3) + y = y³ dx

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Q: How can we solve this separable equation? N(y) * dy/dx = M(x)

A: The given differential equation is, Where, N(y) and M(x) are the functions of the variable y alone…

Q: solve the differential equatior y"-8y'+16y=O

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Q: Solve the DE below: y' – y = 1+ t(e'); y(0) = 2

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Q: y'e² 3-2х y' = y– xy

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Q: Solve the following equation and find the solution y as a function of x and C (constant of…

A: We have observed that the given differential equation is a first order separable ODE. So, by…

Q: Q2: Solve by Separable Differential Equation. y=xe

A: We need to solve the separablefydx=fxdx differential equation

Q: Solve the Bernoulli Equation x² dy + y? = xy dx

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 .............(1)…

Q: dy 1+ e (1-号)

A: Let's find.

Q: 1. Solve the nonlinear equation x - 5 y? dy dx

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Q: Solve the Bernoulli equation. -8 . 3xy'+y=Dy °, x>0

A: Given Bernoulli equation3xy'+y=y-8   , x>0

Q: x2 +1 3. xe dy + dx = 0

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Q: If f(x)=Aekx , f(0) = 5 and f(3) = 10, find k. (SOLVE BY USING DIFFERENTIAL EQUATIONS

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Q: Find the general solution: y'- y |arctg2=1.

A: Hello, thanks for your question but according to our policy I am doing the very first question.…

Q: y' = x + 2y solve the differential equation

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Q: T/3 it eo dt. SOLVE

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Q: dx -dy = 0 4. Solve

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Q: (D² + 1)y = sec² x csc x X cSC X

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: (D + 6D? - 36D- 216)y = 0 m2 + 6m = 0 %3D m2 – 10m+ 26 = 0

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Q: What is the degree of the differential equation dy = 5a4 – dr3 6x2 ? |

A: Clearly the exponent of (dy/dx) is 3.

Q: Q5. Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general…

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Q: Solve The Differential Equation Step by Step 4t²x" + (t²+1)x=0

A: Given differential equation is 4t2x''+(t2+1)x=0         (1) Let the solution be x=∑antn+m Then…

Q: Find an integrating factor and solve the equation 4x y' = e¹x + 8y - 1.

A: Solution of given question is written in below steps.

Q: Q1) Solve the following equation with Bernoulli equation Method, where x(0) =1 dx x* = 2x dy

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Q: Solve the given equation using an "Integrating Factor"; XY' - 3 Y = x³ , Y (1) = 10

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Q: Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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Q: solve the given equation below: xy'=4y

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Q: 5. Solve the D.E. y" + 4y = e-*.

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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: What is the general solution of e3x dx? J (1 – 2e3= )2

A: Use substitution t=1-2e^(3x)

Q: B- Solve the D.E.: y--e* = 0, y(1)=1 .

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Q: Solve the following non-exact equation: (3x'y + 2xy )dx +(2x'y' -x² )dy =0

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Q: y dx + (3x – xy + 2) dy = 0 -

A: As per the instruction, we will be solving only the first one. For (4),We will solve it by Exact…

Q: Q1. Solve the differential equation to find y: (1+x) +y = v

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Solve the equation (1-y)e + dy

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Q: Q9// Solve the differential equation dy dx =y+ /x² – y2 |

A: The given differential equation isxdydx=y+x2-y2

Q: Solve the following equation. | (2t – 6) dt = 0

A: Recall the rule of integration: Integral of xndx = xn+1

Q: and solve the equation + (4.ry – e v) dy = 0. | constant

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Q: Determine the constant A such that the equation (x2 + 3xy) dx + (Ax² + 4y) dy = 0 is exact and solve…

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Q: Q1) Solve the following equation with Bern dy X - dx + y = 3x³y3

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Q: (2xy - x + 2y - 1) dx + (4x²y² - x² + 4xy² - x) dy = 0

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