and y(t) solutions. A B C Match the trajectory on the phase portrait to the correct x(t) D -2 y(t) -6 -8 -10 -5 -5 6 -5 0 x(t) 0 x(t) 0 x(t) 0 x(t) 5 52 2 2 t t 6 3 6 8 4 8 4 'y(t) x(t) y(t) x(1) 'y(t) 10 5 10 5

Q: Find the general solution of the given equations of the 20y + 15х - 3о 3 line (x+ 2y + 8)dx + ( )dy…

A: Use the appropriate substitution and reduced the given differential equation into separable of…

Q: 4. (x² + y2)dx + 2xydy

A: To solve the given differential equation

Q: 13. Find an equation of the curve that passes through the point (1, 1) and whose slope at any point…

A:

Q: 10. dy_x²-3y² 2xy dx

A: 10. dydx = x2 - 3y22xyit is homogeneous equation with degree 2

Q: d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

A:

Q: Find y (2) ify=/4x+1-

A: Given:- y=√(4x+1)  To find:- y''(2)

Q: 1. (D³ - 3D²D + 3)y = 0

A: To Solve: (D3-3D2-D+3)y=0.

Q: 16. (D² + 3D)y = -18x; y = 0, Dy = 0 when x = 0

A: Given differnetial equation ( D2 + 3D )y = -18x

Q: Question 7 What is the x-intercept of the following equation: y = 1/2x+ 1 A) (-2,0) None of the…

A:

Q: Solve the following equations. 1. (xy + y²)dx-x²dy = 0

A:

Q: x' Construct the phase plane for the points (2,2), (2,0), (2,-2), (0,2), (0,-2), (-2,2), (-2,0) and…

A: According to questionWe have to draw the phase plane for the given points.

Q: 2. (2x + 4y -3) dy + (x + 2y -1) dx = 0; y(2) = 5. Determine y(3)

A:

Q: Solve the equation (x + 2y-4)dx - (2x + y - 5)dy = 0. (x + y - 1)² = c(x-y-3) (x-y-1)² = c(x + y -…

A: x+2y-4dx-2x+y-5dy=0

Q: (9) Two objects and x₂ on a coordinate line at the end of 5 seconds are 1₁ = 35²³-125² + 185 +5 and…

A:

Q: y = y² - 1 and y(0)=0 2

A:

Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

A:

Q: y" + 6y' + 8y = 3e-2# + 2x

A:

Q: 5. dy 0sec(y/0) + y de Ө

A: 6. dydθ = θsec( yθ ) + yθ

Q: -4 2 dx dt -10 4 3 with x(0) = 3 Give your solution in real form. X1 = X2 = An ellipse with…

A:

Q: Question 6 (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp a. °C ₂₁e² + c₂e²t. O b. -2x "C₁₂e-x + C₁₂e-² C. O…

A: Ode

Q: #

A:

Q: 2. (2x+4y-3) dy + (x+2y-1) dx = 0; y(2) = 5. Determine y(3).

A:

Q: 7. (D³ — 2D² − 5D + 6)y = 0; y = 1, Dy = −7, D²y = 1 when x = 0

A: The given equation is;  (D3-2D2-5D+6)y=0, y=1, Dy=-7, D2y=1 when x=0.

Q: Find the solution. (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+ 2x)e-2*+ e 2x B y =…

A:

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

A: We will do this question by checking the conditions for the given options.

Q: (iii) x' y" - x(2x – 1) y' + (x+1)y = 0

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 1. (D2 – 2D + 5)y = 0

A:

Q: 7. dx dy 4y - 3x 2x-y

A:

Q: 3. (y² - xy)dx + x²dy = 0

A:

Q: If the length of a curve from (0,–3) to (3,3) is given by [ V1+(x² – 1)² dx , which of the following…

A: Length of a curve formula.