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...

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...

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...

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...

A furnace is switched on at 9am. Heat is supplied at a constant rate, but as the furnace temperature increases, heat is lost at a rate determined by the difference between its temperature and the...

(2x - y) + (2y - x)y' = 0, y(1) = 3 Why is the interval |x| < sqrt(28/3) instead of less than OR equal to?

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.

(1/x)(d/dx(x(dy/dx))) = 4sinh(y) : x varies from 0 to 1 Boundary Conditions :- at x = 0 : dy/dx = 0 at x = 1 : dy/dx = 4 Plot y as a function of x

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 = ?

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

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.

Hello, I am having trouble finding a valid function for the about question. I have been using the product rule and dividing by e but cannot seem to get a correct function to fit the rule....

By letting v = y/x, transform the differential equation to a differential equation in v and x. Find the implicit solution of the resulting separable equation. Then use the relationship y =...

What logistic equation satisfies this differenatial equation and condition? dy/dt=4y1-(y/24), y(0)=14 pls explain so I can actually understand what's going on in class

Dy/DX+3/x y=2x+5

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