Find an explicit solution of the given initial-value problem. x2 dy = y − xy, y(-1) = -3 dx y =

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: Solve the given equation.. dy - 3y = x³, v(1) = 10 X dx a. y(x)= x²Inx+5x³ b. v(x)= x?Inx + 10x³ c.…

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Q: Solve the following IVP: (x²y+y +5x2 +5)Y =y2 +y-2; y(1)=2 dy dx

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Q: Find the general solution of the given equation y" + y = 0

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Q: 6z dy (78)a

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Q: solve the Initial Value Problems. (x² + y² + 2x)dx + 2xydy=0, y(0) = 0.

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

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

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Q: dy Q.2 Solve x/1+ y² + yv1 +x² = 0. dx

A: The expression is x1+y2+y1+x2dydx=0 Multiply both sides by 11+x2·1+y2…

Q: dy 3. Solve dx = -8xy² +4x(4x+1)y-(8x' +4x² -1) by knowing u = x is a solution.

A: Given differential equation is dydx=-8xy2+4x4x+1y-8x3+4x2-1             …(1) y=x is a solution of…

Q: -672-(6)z금 dy dz

A: Simple p.I. of d. E. Problem......

Q: Use the substitution v = x + y + 3 to solve the following initial value problem dy = (x + y + 3)²,…

A: We are given first order non linear differential equation with initial condition. Will use the given…

Q: B. Solve the following initial-value problems. 2. (4ry + 3x²) dx + (2y + 2x²) = 0, y(0) = –2

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Q: Obtain the particular solution. (y-2) dx + (3x −y) dy = 0; when x = 1 and y = 3 12x = 3y + 2 +…

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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…