Section 2.1 Exercises 1. Consider the following direction field for the differential equation = x2 - y2. Sketch, dx by hand an approximate solution curve that passes through each of the indicated points. Use different colors for each! а. у(-2) %3D 1 b. y(3) = 0 с. у(0) %3D 0 %3D

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

A:

Q: Solve Ихх + t³× u(x, 0) = 0

A: solve the system of ordinary differential equations:dx/ds = 1dt/ ds = 1dU/ds = Ut + t2x from first 2…

Q: Verify that the implicit equation x^2 − y^2 = C, where C is a constant,represents a solution to the…

A: To verify that the implicit equation x2−y2=C, where C is a constant, is a solution to the ordinary…

Q: Solve for a linear equation? P(t)y'' + Q(t)y' + R(t)y = S(t)

A: We have to solve for a linear equationPty''+Q(t)y'+R(t)y=S(t)

Q: Q3: Solve the following differential: y" - 4y + 5y = x *******

A:

Q: Find a general solution of the equation: 3x?y" + 2xy' – 2y = 0

A:

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

A:

Q: Identify the differential equation solved by y = e** a) Oy" – 9y + 20y = 0 b) Oy" + 9y' – 20y = 0 с)…

A: The solution is given as

Q: differential equation y = C, sin(5x + C2) as its general solution. a) Oy" – 25y = 0 b) Oy" + 25y = 0…

A:

Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

A:

Q: Solve the following 3rd order equation: y'"+2y"-y'-2y=0

A: First find roots then general solution..