Given a 26t + 41 and y = 169t2 + 124 da (i) dt -n dy (ii). dt dy (iii) dr (write the simplified answer)

Q: (y + 1)dx + (4x – y)dy = 0

A:

Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

Q: Find the general solution of

A:

Q: A: Compute dy at (2, 1) where y = xcos2x dx B: Solve for x: a2 (y³ + vx-4 +y sin2x) < 4cos2r Тдхду…

A: Please see the answer below.

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

A:

Q: Q. 4. Find the solution of dx -10y 4e using variation of parameter method. dx %3D

A: We have to solve given problem:

Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

A:

Q: What is exact solution for dy/dx =(x2+y2)/(x+y)

A: Given: The given equation is dydx=(x2+y2)x+y

Q: y = (ax-1) (6x.+5]%3 find dy dx 10

A:

Q: 1² + 3x + 4 If t = (r² – 1) what is dt/dx?

A: We have to find derivative

Q: (x + 2y – 1)dx + 3(x + 2y)dy = 0

A:

Q: Find the particular solution: (y4 – 2xy) dx + 3.x² dy = 0; when x = 2, y = 1 %3D

A:

Q: I Solve the fllowing FODF 2y(x+y+2) dx + (y²-x²_ 4x-1)dy = o when x=2,y= 3

A:

Q: Q/ Solve the D.E.: d'y dy 2 + 2 - y = 0 dt2 dt

A:

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

A:

Q: (2t – 3)·e -t²+3t dt 3 2/Inx dx . X (2у-3)12

A:

Q: Solve the Linear DE: 2y (y2 - x) dy = dx. %3D

A:

Q: 2 6x? Find dy for y = x? 6x + 7 dy =

A:

Q: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

A:

Q: dx -3 +2x dt = 2 is

A:

Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

A:

Q: (c) Find the specific solution to d²y dx² when x = 0,= 0 and y = 1 +4 dy dx + 5y = 0

A:

Q: 3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

A: Take integration on both side and then put initial value

Q: Solve D.E using Exact from first order (6x² - y+3)dx+(3y² – x- 2)dy

A:

Q: dy = 6 3y – x- dx

A:

Q: + 2e* – 4V¤)dx , where f(0) = 7 -

A:

Q: Solve the DE: 2 dy 3 dx 3x² + y² xy

A:

Q: What is the solution? dy/dx - y/x =xy^2

A:

Q: d ef dt (F(=") = %3D dz dz 13

A: We have to find

Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

A:

Q: Q11) The solution of (1 – y² )dx + (1+ x² )dy = 0 is: %3D

A: 1-y2dx+1+x2dy=0 On simplification, we get ⇒1-y2dx=-1+x2dy⇒dx1+x2=-dy1-y2

Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

A:

Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: If y = = e2a + e3x, then d y at x = 0 equals dx3 %3D

A: Given: y=e2x+e3x

Q: Evaluate В: А: 3e-422 dz Jye-y dy 0, 0,

A: In the question it is asked to calculate the integral of two functions given below: ∫0∞ye-y3dy…

Q: solve the differential equation with the given initial condition.

A: Given:  The differential equation .

Q: Find a particular solution: (x2 + 6y2) dx – 4xy dy = 0, when x = 1, y = 1

A:

Q: Solve the DE. (1+x²)dy + [(1-x)²-xe^-x]dx = 0; when x = 0, y = −2

A: This is a problem of ordinary differential equation. first of all we will simplify it into dy/dx…

Q: The value of C in the equation: dV/dt= -500(t+1)^-2, when V=700 and t=0 is?

A:

Q: find d^2y/dx^2 implicitly in terms of y and x  2y^3=3x^4

A:

Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

A:

Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: d’y -4 dy +y=t²-2t +3 1. dt? dt

A: The given differential equation is; d2y/dt2 -4dy/dt +y=t2-2t+3. Repost the next part.

Q: 4 d 4. Find dx 2 Vt2+17 dt

A: The given integral is,

Q: | 3yVT – 3y² dy

A:

Q: dx 2. = 3x. dt

A: The given differential equation is                                                    dxdt=3x…

Q: dy Find the general solution of (x² + 4). = xy. dx

A:

Q: Solve for the general solution. (x + y) dx + (3x + 3y - 4) dy = 0

A:

Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

A:

Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is: %3D

A: