For the differential equation dy/dx=ye^x check all that apply A. PDE B. ODE C. homogeneous D....

For the differential equation dy/dx=ye^x check all that apply

A. PDE
B. ODE
C. homogeneous
D. linear
E. constant coefficients
F. autonomous
G. system

this is a differential equation problem. i was thinking it was A,C,F but thats not correct. any suggestions would help.

Expert Solution

Colby Messinger answered 1 year ago

Find the general solution of the differential equation (x + 2y) (dx-dy) = dx + dy.

Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. dy dx...

Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. dy dx = y − x y + x

Solve Homogeneous differential equation. Please show work (4x - 2y)dx + (2x - 9y)dy = 0

differential equation y'=dy/dx = -(3xey+2y)/ (x2ey+x). find the solution

find the differential equation of dy/dx = y+y^3

Consider the following second-order ODE: (d^2 y)/(dx^2 )+2 dy/dx+2y=0 from x = 0 to x =...

Consider the following second-order ODE: (d^2 y)/(dx^2 )+2 dy/dx+2y=0 from x = 0 to x = 1.6 with y(0) = -1 and dy/dx(0) = 0.2. Solve with Euler’s explicit method using h = 0.4. Plot the x-y curve according to your solution.

Given the differential equation dy/dx =x. With intitial condition y(1)=0.5. Use eulers method with dx =...

Given the differential equation dy/dx =x. With intitial condition y(1)=0.5. Use eulers method with dx = 0.1 , to approximate the value of y when x=1.8

1. (a) Sketch the slope field for the given differential equation: dy/dx = 2? (b) Find...

1. (a) Sketch the slope field for the given differential equation: dy/dx = 2? (b) Find the particular solution of the differential equation that satisfies the initial condition y(0) = 4 (c) What is the value of y when x = 1/2 2. (a) Find the general solution of the given differential equation: dy/dx = ysinx = ????? 2 (b) Find the particular solution of the differential equation that satisfies the initial condition ? = 2; ?ℎ?? ? = π/2

Question 10: (1 point) We want to solve the differential equation dy/dx=[x(e^(7x+y^5)]/y4 a) This differential equation...

Question 10: (1 point) We want to solve the differential equation dy/dx=[x(e^(7x+y^5)]/y4 a) This differential equation is separable and can be writen. ∫N(y)dy=∫M(x)dx , where M(x)= __________ and N(y)= __________ b) To compute the integral ∫N(y)dy, you need to use the substitution u= __________ With this substitution, we get ∫N(y)dy=∫n(u)du, where n(u)= __________ We find that ∫n(u)du= __________ +K and hence ∫N(y)dy= __________ +K, where we have added the constant of integration K for you; so you don't need to add one in your...

Solve this differential equation (4x - 2y)dx + (2x - 9y)dy = 0

Question