Math 2233Homework Set 31. Determine the order of the following diﬀerential equations and whether or not the equations are linear.(a)x2d2ydx2+xdydx+2y= sin(x)(b) (1 +y2)d2ydx2+xdydx+y=ex(c)d4ydx4+d3ydx3+d2ydx2+dydx+y=1(d)dydx+xy2=0(e)d2ydx2+ sin(x+y) = sin(x)2. Solvey+3y=x+e-2x.3. Solvey-y=2ex.4. Solvexyy= sin(x);x>0.5. Solve the following initial value problem.y-yxe2x;y(1) = 0.6. Solve the following initial value problem.y+2xy=cos(x)x2;y(π)=07. Find the solution of the initial value problem below. State the interval in which the solution is valid.xyy=x2-x+1 ;y(1) =12.8. Find the solution of the initial value problem below. State the interval in which the solution is valid.
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This homework help was uploaded on 04/22/2008 for the course MATH 2233 taught by Professor Binegar during the Spring '08 term at Oklahoma State.