(y In y e") dx + +x In y dy = 0

Q: (D" - 8D²-9) y = 50 sinher

A:

Q: dx dx + dx

A:

Q: Vỹ + }xy¬2/3 dy dx

A:

Q: Find dy/dx for the equation y^2+xy=1

A: Given:

Q: Determine d²y of the curve x³y³ = 1. dx² d²y dx² X d²y_2y dx²x2 d²y dx² -x+y Odly - 36xy d²y dx²

A:

Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: d²y - x² = 0 with dx2 (x = -3) = 2, y(2)=4 dx

A:

Q: olve the following: Each question is

A: Introduction: A differential equation is one that incorporates the by-product of an unknown…

Q: What is the I.F of (2y^2+3x)dx+xydy=0?

A:

Q: /Sind d'y/dx³, when x=t²³ ++ and y=t³ +1

A:

Q: Find the curve y if dy = x2 +5, dx + 5, curve passes through (0, 25)***

A:

Q: J. (z+z^3 )dx+(x+1)dz=0 K. (x^2+4)^(3

A:

Q: Resuelva dy 2xe* -y+6x² dx

A: The given differential equation is:xdydx=2xex-y+6x2

Q: find y' for y=xe(x^2  + 2x + 3)^3 step by step

A: Derivative of e^x is e^x Derivative of x^n is nx^(n-1) Product rule :(fg)'=f'g+g'f

Q: Solve: x- dx dy - (x + 1)(1 + y*).

A: First separate the variables than integrate and solve the  differential equation .

Q: Find dy dx I-Ln(x+3)=tかが(x:)

A:

Q: Evaluate y” - y’-2y = sin2x

A: Using method of linear differential equation.

Q: X- dx dy + (x – 7)y = 8x'

A:

Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: solve 2 (pedoe tydy +2d₂) ² 2 = {(2²-x²=y²2) (seds tydy + z dz/d2} z

A:

Q: d Find {1+ 2x + 3x*} dx Find the equation of the tangent to y = 1++ 2x + 3x4 at the point with…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Find dy dx Y = x - 7 X

A:

Q: the

A:

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

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.