Solvo the initial value problems. y1/2 dy dx + y³/2 = 1, y(0) = 4

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: dy 2x + 1 y(-2) = -1. dx 2y

A: To solve the IVP: dydx=2x+12y, where y-2=-1. Solution: Separating the variables of the given…

Q: ] Solve (3xª – y)dx + (x – 4x²y³)dy = 0.

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Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: x3-27 dx 2. ズ-3

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Q: 3.2 (2x - y²) dxdy

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Q: dy/dx = -3x2y y = ___

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Q: .3 9. dx dy y2

A: Find the double integration.

Q: (x+ 3y – 5)dx – (x - y– 1) dy =

A: the given differential equation is: x+3y-5dx-x-y-1dy=0 we have to solve the given differential…

Q: 5. Exact Equations: Solve the equation 3x (xy – 2) dx + (x³ + 2y) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

Q: solve (x + y − 1)dx + (y − x − 5)dy = 0.

A: According to question, Given differential equation, (x + y − 1)dx + (y − x − 5)dy = 0.

Q: 2. dx y²-y-dy=0

A: To solve the following differential equation. x+1x2+2x-7dx-y-2y2-4y-5dy=0

Q: 2- Solve (4x + 2y + 3)dx - (6x + 3y – 2)dy = 0.

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Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: solue 2/2y² + 5xy - 2y +4) dx + x (2x +2y-1) dy = 0

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Q: Solve the following D.Es: 1. (x+ 1) = x(y² + 1). dr

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

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: 312 dx x + 1

A: We have to find the value of ∫x3/2x+1dx

Q: Evaluate the expressions using the order of operations. (- 14 + 17) -3+(12-21) ... (- 14 + 17) •3+…

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Q: 24. Evalute dx r +1

A: Given: ∫0∞x12x3+1dx

Q: Ln3 2X dy dv

A: Part i,Given,          ∫0ln3ex1+ex12dx

Q: Calaculate the following (3x² + 9xy + 5y²) dx – (6x² + 4xy) dy = 0, y(2) =-6.

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Q: 2x Solve dx + 4 + 3y = e dx

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