calculus

solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5

  1. 👍 0
  2. 👎 0
  3. 👁 240
  1. I am guessing that you mean sec^2 and left out parentheses

    du/dt=(2t+sec^2t)/2u, u(0)=-5

    2 u du = 2 t dt + sec^2 t dt

    u^2 = t^2 + tan t + c

    when t = 0, u = -5

    25 = c

    u^2 = t^2 + tan t + 25

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    When you see a traffic light turn red, you apply the brakes until you come to a stop. Suppose your initial speed was 12.9 m/s, and you come to rest in 35.0 m. How much time does this take? Assume constant deceleration. What

  2. Maths

    Solve the initial value problem (dx/dt)+2x=cos(2t) with x(0)=5

  3. physics

    2 identical cars capable of accelerating at 3.00m/s^2 are racing on a straight track with running starts. car A has an initial speed of 2.50m/s and car B has an initial speed of 5.00m/s. what is the seperation of the 2 cars after

  4. Differential Equations (Another) Cont.

    For the following initial value problem: dy/dt=1/((y+1)(t-2)) a)Find a formula for the solution. b) State the domain of definition of the solution. c) Describe what happens to the solution as it approaches the limit of its domain

  1. calculus

    solve the differential equation by seperation of variables 3. dy/dx=e^(2x)/4y3

  2. Maths

    Solve the initial value problem 10(t+1)(dy/dt)+9y= 9t for t > -1 with y(0)=15

  3. Calculus

    Using separation of variables, solve the following differential equation with initial conditions dy/dx = e^(2x+3y) and y(0) = 1. Hint: use a property of exponentials to rewrite the differential equation so it can be separated

  4. Alg 2

    Today we learned how to solve systems of equations with 3 variables, however my teacher didn't go over how to do a problem where not every single equation in the system has the 3 variables. Can someone point me to a place that

  1. physics

    to start a nuclear fusion reaction, two hydrogen atoms of charge 1.602x10^-19 and mass 1.67x10^-27kg must be fired at each other. If each particle has an initial velocity of 2.7x10^6m/s when released, what is their minimum

  2. calculus

    solve the initial value problem by separation of variables dy/dx=-xy^2, y(1)=-0.25

  3. calculus

    how do you solve the initial value problem by using separation of variables dy/dx=1+x/(sqrt of y), y(2)=9

  4. calculus differential equation

    Find in implicit form the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.

You can view more similar questions or ask a new question.