# Calculus

(1 pt) Find the unique solution to the differential equation

y"?5y'+6y=?312sin(2t)
satisfying the initial conditions y(0)=?31 and y'(0)=?18

1. 👍 0
2. 👎 0
3. 👁 142

## Similar Questions

1. ### Calculus

Find the unique solution to the differential equation y"?1y'?6y=?24(t^2)+10t+41 satisfying the initial conditions y(0)=?6 and y'(0)=?26

asked by Hannah on December 3, 2010
2. ### Calculus

1)Find the particular solution of the differential equation xy'+3y=80xlnx (x>0) satisfying the initial condition y(1)=4 2)Find the particular solution of the differential equation y'−1y=−5x+3 satisfying the initial condition

asked by Hannah on November 18, 2010
3. ### Differentail Equations

I cant figure out how to do this type of problem! Consider the first order differential equation y′+(x/(x^2−4))y=(e^x)/(x−9) For each of the initial conditions below, determine the largest interval a

asked by Eric on June 6, 2015
4. ### Calculus

Find the particular solution of the differential equation y'=(5x+21y)/7x satisfying the initial condition y(1)=5.

asked by Hannah on November 18, 2010
5. ### Calculus

Solve the separable differential equation: dy/dt=4y^6 and find the particular solution satisfying the initial condition y(0)=-3 y(t)=?

asked by Carly on July 29, 2011
6. ### 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

asked by Anonymous on April 23, 2016
7. ### 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

asked by Emily on November 1, 2016
8. ### 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

asked by Anonymous on November 2, 2016
9. ### calculus

find solution to differential equation given the initial conditions DQ/dt=Q/5 Q= 50 when t= 0 i don't understand this one because of the division sign.

asked by Daniel on December 4, 2008
10. ### Calculus

Find the particular solution (solved for y) for the differential equation dy/dx=2x/e^(2y) satisfying y(0)=1.

asked by Anonymous on April 9, 2015

More Similar Questions