# calculus

posted by .

find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions:

y(0)=50, y(5)=100

INtegrate dy/dt

I think the answer will be in the form of y=e^kt + C

check that and see if it works.

You should be memorizing your integral forms.

but how do i find k?

## Similar Questions

1. ### calculus-differential equation

Consider the differential equation: (du/dt)=-u^2(t^3-t) 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=?
2. ### calculus

Could somebody please check these for me?
3. ### calculus

Please help. I have an implicit answer to a differential equation of 18y*sqrt(y)=(2(x^2-6x+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 …
4. ### calculus

Sorry to post this again, but I am still unable to understand it and need help. Please help.1) Using 3(x-3)(x^2-6x+23)^2 as the answer to differentiating f(x)=(x^2-6x+23)^3/2, which I have been able to do, I need to find the general …
5. ### calculus

verify that y=c/x^2 is a general solution of the differential equation y'+(2/x) y=0-6y=0 then find a particular solution of the differential equation that satisfies the side condition y(1)=2
6. ### 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?
7. ### 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)?
8. ### Calculus

find the particular solution of the differential equation that satisfies the conditions: f''(x)=sin(x)+e^(2x) f(0)=1/4, f'(0)=1/2
9. ### Calculus

Find the particular solution that satisfies the differential equation and the initial conditions. f''(x) = x^2 f'(0) = 8, f(o)=4 f'(t) 10t - 12t^3, f(3) =2
10. ### Calculus

Find the particular solution that satisfies the differential equation and the initial conditions. F'(x) = 4x^2 f (-1)=3 F'(t)=10t-12t^3 f (3)=2

More Similar Questions