Uz + xuy = x²y, u ( x, 2x + = 5x

Q: 9. dy/dt = y²(y² - 1), -∞ < Yo <∞

A:

Q: 2. (4xy + 3y2 – x) dx + x(x + 2y) dy 0; when x 2, y 1

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: f(x,y)=ln(1–x-y

A: In this question, we have a multivariable function which is f(x,y)=ln(1-x-y). we need to find the…

Q: Find the general solution of y' = y secx

A:

Q: Find the set of solutions (3x – 3y – 2) dx – (x – y + 1) dy = 0. - - %3D

A: Given differential equation is linear, we will use substitution to solve it

Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

A:

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

A:

Q: Solve Separable (x – 4)y*dx – x³ (y² – 3)dy = 0 -

A:

Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: Solve Ux + X YUy +U=0

A:

Q: 2 √2x-x² SJ J² J²^ √√√x² + y² + 2 00 y²)[2x − (x² + y²)]dydx -

A:

Q: (1+x²) uz + Uy = 0, u(1, y) = sec y

A:

Q: dy = ay + by", dt a > 0, 6 > 0, -∞ < Yo < ∞

A: A differential equation is given by, dydt=ay+by2 for a&gt;0, b&gt;0, y0&gt;0. The objective is to…

Q: 4.Jy2-プdy

A:

Q: Find d²y if y =x² +3x-7 and x=2t+1. dt?

A: y=x2+3x-7 and x=2t+1

Q: dx +v1-x2 dy =0 +V1-x2 dy =

A:

Q: 8. Jydx + (1+ x)dy = 0,,when x = 1, y = 4

A: Differentiable equation can be solved separating the variables on each side and then integrating…

Q: (4xy + 3y2 – x) dx + x(x + 2y) dy = 0; when x = 2, y = 1

A:

Q: 6. (2z – 1)(y – 1)dr + (x+ 2)(x – 3)dy = 0, y(1) = -1

A:

Q: 6x-9 =? dy Sx + uy dt

A: Given system of differential equation is dxdt=6x-ydydt=5x+4y In matrix form, we can write it as…

Q: Find the solution of (x² – xy – y²) dx + xydy = 0 -- -

A:

Q: Find dy/dx if y = u5 - 2u3 + 8 and u = x2 + 1.

A: Given function are: y=u5-2u3+8......(1) u=x2+1......(2) The objective is to find the value of dydx.

Q: 2x X 5) i dydx y 1 x

A:

Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: dx | | dt dy dt dz dt 2x + y + 2z 3.x + 6z = -4x – 3z - =

A: Given: The differential equations are  dxdt=2x+y+2zdydt=3x+6zdzdt=-4x-3z To find the general…

Q: Solve the system

A: Given information: The system of equation is  x-y+z=2              (1) xyz=0…

Q: uxx+uyy=0; u1(x,y)=cos x cosh y, u2(x,y)=ln(x2+y2)

A: Given:

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: (2xcosy + 3x2)dx + (x3 − x2siny − y)dy = 0, if f(0) = 2.

A:

Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

A:

Q: x, prove that y¨= 2(y² +1)(3y² +1).

A:

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

A:

Q: d x dt 2+ + 3x + 5y. = LY dt -3Y-5X ex

A:

Q: J2-x² (X +2y) dy dX

A:

Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

A:

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

Q: ze² dz (1+ x)* + C 1+ z

A:

Q: (4xy + 3y2 – x) dx+ x(x + 2y) dy = 0; when x = 2, y = 1

A:

Q: F(x,y) = -41² - 2xy-4y² +z+y.

A: Follow the procedure given below.

Q: dx Зх — 2у — z dt - dy 3x – 4y – 3x dt dz - 2x – 4y dt

A:

Q: y Ux у иху +и%3D 0

A:

Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

A:

Q: (x³ + y³) dx - 3xy² dy = 0; when x = 1, y = -1

A: The given differential equation is in the form  Mdx + Ndy = 0 x3+y3dx-3xy2dy=0 where M = x3+y3 and N…

Q: Find Vy where = (x² + y² + z²) e¯¯ √√√x² + y² + z ²

A: Given :ψ=x2+y2+z2e-x2+y2+z2

Q: - 6х + 2у, dt dy -3х + 1у dt

A:

Q: dy * - x Iny; yc1)= |

A:

Q: Find the particular solution of csc y dx + sec² x dy = 0; y = when x = 2 2

A: Given differential equation is cscy dx+sec2x dy=0. To find the particular solution if y=π2 when…

Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

A:

Q: - = 2x, – x, dt dx, =-x, +x, +4e' dt

A: integrating, x1= (x1)^2-dx2/dt, replace dx2/dt with -x1+x2+4e^t in above equation…

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.