The general solution of x' = 2x + 5y and y' = -2x - 4y

Q: (х3 + 3х)dx х1/2

A: Thus the integration is a process of finding anti derivative of a function . There are basically two…

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: 3) Find y"(0), where y = 4x + 2x + 3

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: Find y'. y=x V6x - 1

A:

Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

A:

Q: ム× dx (x2+1) (3x-2)

A:

Q: solve 19. (5x' + 4x? – 3x) – (x² + 7x + 2) 20. 3(x – 1) + 4(x + 2)

A:

Q: x²dx 3 2 3 (5-x') 2.

A:

Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: 1 (6x–15x +9x) = x'e D² -D+3 true Error

A:

Q: Let y = 3e¹ 2x³+e-4z. . Which is y'? You will need to simplify to find the answer.

A: The given function is

Q: 3. Solve (x+y-1)dy = (x-y-3)dx 4. Solve dy/dx = (y+x)/x 5. Solve dy/dx +y = exp(3x)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 9. (D² - 2D + I)y = 35x³/2ex

A:

Q: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point

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.