Yp = -1 / 5ex - 1/2 (cos 2x) ((ln (sec2x + tan2x)) is the particular solution of the differential equation

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: Solve the differential equation defined by x dy/dx −2y = x^6 sinx.

A: Consider the provided differential equation,

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: Solve the Differential Equations by Inspection (40xy-21y*)dx– (35xy³-20x²+20x?y-14xy*)dy=D0

A: The given differential equation is: 40xy-21y4dx-35xy3-20x2+20x2y-14xy4dy=0   …* Here  M=40xy-21y4…

Q: Solve the differential equation: (2xy-sinx)dx+(x² - cosy)dy=0.

A: The given differential equation is  (2xy-sinx)dx+(x2-cosy)dy=0 It is of the form , Mdx+Ndy=0 . This…

Q: Use variation of parameters to solve the differential equation x²y" + 10xy' + 8y = x².

A: The given problem is to solve the given differential equation by using the method of variation of…

Q: Solve the differential equation: x? (p? - y ) +y =x* +2xyp

A: For the detailed solution of the problem follow the next steps.

Q: solve CA of this separable differential equation: dCA/dt = (1/τ)(CAf−CA)−kCA

A:

Q: Determine the domain of the function as a solution to the differential equati

A: As the function y=tan(x) has a domain  , one may assume the question is concern only in

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.