Which of these differentials is exact? (only one of them is exact) (1 – 2xy)dx + (x² + y²) dy O (22 + y²) dx +(1 – 2æy)dy O (1 – 2æy)dæ + (æ² – y²) dy '(æ² – y²) dx + (1 – 2æy)dy -

Q: Which of the following differential forms are exact? (y² – t²) dt + (2ty – y) dy O ye' dt – e' dy O…

A: To find  Which of the given differential equations are exact.

Q: dy 2. (a) Determine in terms of x and y given that dx i. x²y + 3xy3 – x = 3 ii. sin(x? y?) = x (b)…

A: Let's find.

Q: dx dy y²+x² 3x²y+y³+2xy

A:

Q: Find dy/dx when 1. 2. 3. 4. 5. dy dx dy dx dy dx dy dx dy dx x³ + 2y³ - 9xy - 1 = 0. x² - 3y X 2y² +…

A:

Q: а. 3(х + 1)2

A: Given that : The equation is y = ( x + 1)3 .

Q: dy -is If y = In(x-5), then dx 4x x-5 4. 3x 4 x-5 4x 3. 4x +5

A:

Q: 3. (1+3e )dx+3e"1- dy =0 Ans. x + 3y e = C

A: Given,1+3exydx+3exy1-xydy=0

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: Beta Function dx 3) Evaluare ta) "(4 – u)". du, (h) Ans. (a) 12л. (h) п 3x -x

A:

Q: S V sin(y) × cos*(y)dx × cos° 3 х COS

A:

Q: [₁+² So 1 1 2 cos(x - y) dx dy

A:

Q: (3x² – 2xy+ y²) dx + (2xy – x² + sin y) dy = 0, y(12) = 0 - |

A: We have to find the required solution of…

Q: Which of the following is a 1-form? In the case of a 1-form express it as a linear combination of…

A: A 1-form is a linear function ν: φpℝn→ℝ that is v∈φpℝn Given  φνp=ν·dx1,dx2,...,dxn…

Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: y dx + x(Inx-Iny -1) dy z

A: Use substitution lnx=u:…

Q: dx 27 (d) 2 + cos (x)

A: As per bartleby guidelines we are supported to answer only one question at a time . Kindly repost…

Q: dy = x - 2y dx -2x a. 4y + 1 = ce + 2x -2x b. 4y +1 = ce -2x -2x - 2X C. 4y - 1 = ce 2x -2x + 2x d.…

A: Topic = Differential equation

Q: (x + 2y - 1)? dx = dy A. x + Arctan { [V(2)] [(x + 2y -1)] } = c B. x = Arctan { [V(2)] [(x+2y-1)]}…

A:

Q: Check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]

A: We need to check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]. We have y…

Q: If 3x² + 2xy + y² = 2, then the value of dy/dx at x = 1 is

A: Given that        3x2+2xy+y2= 2 We have to find the value of dy/dx at x=1.

Q: 3. Linear DE of Order one 2y(y? – x)dy = dx 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e-2x² dx

A:

Q: (x - y) (4x + y) dx + x(5x - y) dy = 0.

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.