When I solve it with separation I get to a point where y^2=5/2(x^2+1)^(1/2)+C but then I get two solutions and then my equation gets messy when trying to solve for the constant C with the...

When I solve it with separation I get to a point where y^2=5/2(x^2+1)^(1/2)+C but then I get two solutions and then my equation gets messy when trying to solve for the constant C with the...

For this equation is the Taylor Series the best approach to wstimate numerically? I am also using Euler’s to compare. Trying to find y(1) given y(x) is a solution to the equation...

Can you help me understand the steps in solving this equation? Will you always use e^() in these types of equations?

I am having trouble identifying where to start to find the U subsitute.

The nonhomogeneous equation t^2y′′−2y=29t^2−1, t>0, has homogeneous solutions y1(t)=t^2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms from...

Find the fundamental set of solutions for the given differential equation L[y]=y′′−9y′+20y=0 and initial point t0=0 that also specifies y1(t0)=1, y′1(t0)=0, y2(t0)=0 and y′2(t0)=1.

Find the solution of the given initial value problem in explicit form. sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation: (1/4)sin(4y)=(1/2)cos(2x)+C then...

A rocket sled having an initial speed of 191 mi/h is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v)=−μυ^2, where v is the velocity and μ...

Find the solution of the given initial value problem in explicit form. sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation: y=[arcsin(2cos(2x)+C)]/4...

Find the solution of the differential equation dy/dx*(ln(y))^2 = yx^2 which satisfies the initial condition y(1)=e^2 y = ?

Find the particular solution of the differential equation: x^2/(y^2-4)*dy/dx = 1/(2y) satisfying the initial condition y(1)=sqrt(5) y = ? the answer must be the...

This is an assignment question.

Solve the separable differential equation for u: du/dt = e^(4u+9t) Use the following initial condition: u(0)=4 u = ?

Solve the separable differential equation 7x - 6y*sqrt(x^2+1)dy/dx = 0 Subject to the initial condition: y(0)=5 y = ?

Solve the following initial value problem: (t^2-16t+60)dy/dt = y 1) with y(8)=1y(8)=1. (Find yy as a function of t). 2) On what interval is the solution valid? 3) Find...

Find the particular solution of the differential equation dy/dx = (x-4)e^(-2y) satisfying the initial condition y(4)=ln(4) y = ?

http://i.imgur.com/PknZsfZ.png I'm confused on why the first row has values 0 + yk+1 + 0 and the second row has 0 + 0 + yk+2

Differential equations are often referred to as mathematical models. Explain what the phrase “mathematical model” can mean, experiences with mathematical models, and how the mathematical use...

Consider the rate of change equation dy/dt = 0.5y(2+y)(y-8) which has been created to provide predictions about the future population of rabbits over time. a) For what...

The letter y appears in two places in the differential equation dy/dt = 0.3y. Is it appropriate to think of both occurrences of y as function of t? Explain.