A. d²y dx² B. d²y dx² 4 + 7y=0 dy dx - 4y = 8e²x - 12

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

A:

Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

A:

Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

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

Q: Would y = - (sqrt(16-x^2)) be a solution to dy/dx = -x/y with y(0) = -4?

A: The given differential equation  with

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

A:

Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

A:

Q: Find d2y/dx2 if e^y− y = x. Write your final answer in terms of x and/or y, and simplify.

A:

Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: 3x2 x³ +1 dx

A:

Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: 8. (x² + 2xy − 4y²) dx — (x² − 8xy — 4y²) dy = 0. - -

A: #8

Q: d'y -+42=sin 2x 3 dx dx

A:

Q: dx² dx 543-5+ y = 0; y(0) = 4y'(0) = 0

A: To solv the following initial value problem.

Q: Solve for dx/y-xdy/y^2=0

A:

Q: solve it using long method and method of grouping. (2xy - 9x^2)dx + (2y + x^2 + 1)dy = 0

A: This equation is exact. By using exactness we shall solve it.