2020年2月18日 · Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. x2 + y2 = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 8.

Learn how to calculate d^2y/dx^2 by dividing (d/dt)(dy/dx) by dx/dt, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Problem 1. Solve the initial value problem: dy/ dt = t /y-t^2y, y(0)=4 2. Draw the phase line and determine the stability of the equilibria for the autonomous equation: dy/ dt =y^3 − y 3. Solve the differential equation: dy /dx = y /1 + x + x^2 4. Solve the differential equation: dy/ dx + …

Solve the initial value problem dy dt = y(y + 4) with y(0) = −5 Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on.

\\ iii) \ dy/dt = (3y^2 + yt)/t^2 \\ iv) \ dy/dt = y/(t \ln(t/y)) {/eq} Changing Variables in a First Order Differential Equation: If we are given the derivative of {eq}y(t) {/eq} as a function of {eq}y {/eq} and {eq}t {/eq}, we might be able to solve the equation by rearranging it into the form

dy/dt=(1/(ty+t+y+1)) This question hasn't been solved yet! Not what you’re looking for? Submit your ...

Solve this differential equation: dy/dt = 0.03y(900-y) y(0) = 10 Box 1: Enter your answer as an expression

Question: Solve each of the following differential equations: (a) dy dt = −y + 5, y(0) = y0. (b) dy dt = −2y + 5, y(0) = y0.

Answer to (t + y + 1)dt - dy = 0. Your solution’s ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on.

Dy/dt= -2ty^2. (i) Obtain the general solution. (ii) Find all values of y0 such that the solution to the initial-value problem y(-1) = y0 is. defined for all real t (i.e., find all y0 such that the solution does not blow up in finite time.)