Given the third-order linear homogeneous differential equations: y3) = 0 O A. Three linearly independent solutions of the given differential equation are: x, ex, sin(x) O B. Three linearly independent solutions of the given differential equation are: 1, х, х2 OC Three linearly independent solutions of the given differential equation are: ex, sin(x), cos(x) O D. Three linearly independent solutions of the given differential equation are: 1, х, еx O E. Three linearly independent solutions of the given differential equation are: х, х2 х3

Q: dy Зx+2у-5 dx 2х+у-3

A:

Q: Solve by the method of: Exact differential equations and integrating factor xy + y² dx + x² + 3xy dy…

A: To solve given differential equations, let us first find the integrating factor which will make it…

Q: 8- (1+y*)dx+(2xy+ y +1)dy = 0

A: The Objectives is to solve the differential equation.

Q: Evaluate the general solutions of the following differential equations: 1 y+y=cosx (A) (B) y-y=-3x +…

A:

Q: dy 6. tan 2+2 dx Ans. sin 2= Cxr х х х

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: 1 (ysin x + y?) dх — + cosx – 2xy) dy = 0 - \y²+1

A: Consider a differential equation of the form Mx,ydx+Nx,ydy=0. If ∂M∂y=∂N∂x, then the differential…

Q: Use the method for solving equations of the form dy dx -=2 sin (10x-5y) |ð = G(ax+by) to solve the…

A: We have to solve the given differential equation in the form of F(X,Y)=C ,where C is an arbitrary…

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.