Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) = e. O O ze O 0 O e² O2e²

Q: Solve the D.E. 3(3x? + y²) dx - 2xy dy = 0 (A x= c(x² + 9y²) B x= c(x2 + 3y3) © x = c(9x² + y²) D x…

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

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Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: 3.2 (2x - y²) dxdy

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Q: solve D.E. by using Linear (y? + 1)dx + (2xy+ 1)dy= 0

A: See the attachment

Q: x² = 2y²(y-1) y² = 2x²(x+1) x² = 2y²(y+1) y² = 2x²(x-1) dx (3x²-2-²) 4

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Q: Solve (x − y − 1) dy − (x + 3x − 5) dx = 0

A: Rewrite the differential equation as                 dydx=x+3y-5x-y-1

Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: Solve (3x²y³+4xy)dx+(3x³y²+2x²)dy=0

A: Let us considre the differential equation Mdx+Ndy=0 The equation is exact ∂M∂y=∂N∂x The solution of…

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

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

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Q: Solve the following edo y²dx + (x² + xy + y²)dy = 0, y(0) = 1

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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: 4.a) Find d dx y = ln (2²/ n (²x + 5) b) Find dy dx y = 3√√x++2x e³x (5x²)

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Q: Determine for which values of m the function (x)=x" is a solution to the given equation. (a) 3,2d…

A: We have to find the value of m.

Q: Solve the DE. (x³ + xy²-y)dx + (y³ + x²y + x) dy = 0 O arctan(‡)=C − x y O arctan (=) = C - x² - y²…

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Q: The solution of (xy – ) = y³e-x² dx

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: If dy/dx = 4x/y and y(0) = 5, find an equation for y in terms of x. A x²/2=2y² + 25/2 B. y²/2 =…

A: To solve the following problem

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: 5- The infinit series En=1 is 2n A- Congergence B- Divergence C- Neither A nor B

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Q: Solve the following DE: x² + 2xy − 4y²) dx − (x²8xy - 4y2) dy=0 Ox²+4y²=C(x+y) 2x² + y²=C(x+2y)…

A: The given differential equation is; (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0

Q: Solve the following DE: (x² + 2xy-4y²) dx - (x²-8xy-4y2) dy=0 Ox²+4y²=C(x+y) Ox²+2y²=C(x+y) O x² +…

A: Given DE is x2+2xy-4y2dx-x2-8xy-4y2dy=0 The solution is determined as shown below.