calculus
posted by tia .
Could somebody please check these for me?
Solve the differential equation with the given initial solution.
1. (dy/dx)=(y/3)
for y(0)=10
my answer was y=10e^(x/3)
2. dP/dt=P+4
for P(0)=100
my answer was P=104(e^t)4
3. dz/dt=te^z
for z(0)=0
my answer was z=ln(.5(t^2)+1)
THANKS

They are all correct.
Respond to this Question
Similar Questions

calculus
find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions: y(0)=50, y(5)=100 please show steps. INtegrate dy/dt I think the answer will be in the form of y=e^kt + C check that and … 
calculusdifferential equation
Consider the differential equation: (du/dt)=u^2(t^3t) a) Find the general solution to the above differential equation. (Write the answer in a form such that its numerator is 1 and its integration constant is C). u=? 
calculus
Could somebody please check these for me? 
calculus
Please help. I have an implicit answer to a differential equation of 18y*sqrt(y)=(2(x^26x+23)^3/2)/3 plus arbitrary constant. What is the particular solution to this for which y=2 when x=1. And then express this particular solution … 
calculus
Solve the differential equation below, given the initial condition f(0) = 3. Express your answer using words or symbols. y=5x^2 
PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!
1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(4)=1: 0.1(y+2)(4y) 2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to … 
calculus
Find the solution of the differential equation that satisfies the given initial condition. dp/dt=2 sqrt(pt), P(1)=5 my answer: P=(2/3t^(3/2)+(15sqrt(5)10)/15)^2 how is it wrong? 
Calculus!!
Consider the differential equation given by dy/dx = xy/2. A. Let y=f(x) be the particular solution to the given differential equation with the initial condition. Based on the slope field, how does the value of f(0.2) compare to f(0)? 
Calculus
Consider the differential equation dy/dx = x^4(y  2). Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 0. Is this y=e^(x^5/5)+4? 
Calculus
Consider the differential equation dy/dx = x^2(y  1). Find the particular solution to this differential equation with initial condition f(0) = 3. I got y = e^(x^3/3) + 2.