Find a particular solution satisfying the initial condition, of each of the following differential equations 17-21....
1. Find the particular solution of the differential equation dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x) satisfying the initial condition y(0)=4y(0)=4. 2. Solve the following initial value problem: 8dydt+y=32t8dydt+y=32t with y(0)=6.y(0)=6. (1 point) Find the particular solution of the differential equation dy + y cos(x) = 2 cos(z) satisfying the initial condition y(0) = 4. Answer: y= 2+2e^(-sin(x)) Your answer should be a function of x. (1 point) Solve the following initial value problem: dy ty 8 at +y= 32t with y(0) = 6. (Find y as...
1) Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation Initial Condition yy' − 4ex = 0 y(0) = 9 2) Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation Initial Condition 10xy' − ln(x5) = 0, x > 0 y(1) = 21 Just really confused on how to do these, hope someone can help! :)
Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation initial Condition y(x + 3) + y = 0 Y(-6) = 1
dicated initial condition. In #4-5, find the particular solution for each differential equation given the indicated initial 4 de -cosx=0, 600)=1. s. 1-2x = 0, y(0)= In 2
Find a function y=f(x) satisfying the given differential equation and the prescribed initial condition. 1 dy dx y(7) = -5 1x + 2
Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solu Differential Equation Initial Condition 16xy! – In(**) = 0, x > 0 y(1) = 50
consider the differential equation dy/dx = -2x/y. find the particular solution y = f(x) to the guven differential equation witht the intial condition f(1)= -1 umowed for this question. D Consider the differential equatio find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1 46) = -1 Hy=f2 xdx 17 2 + C = -x +C (b) (9.6) be the region in the first quadrant bounded by the graph of y...
15. [-75 Points] DETAILS LARCALCET7 5.8.061.MI. Find the particular solution of the differential equation that satisfies the initial condition. 1 dy dx = y(0) = 21 y =
Find the solution of the differential equation, and then solve for the initial condition Find the solution of the differential equation, and then solve for the initial condition y(1)=1 x1nx=y(1+root 3+y^2)y
(1 point) Find the particular solution of the differential equation + y cos(x) = 8 cos(x) dx satisfying the initial condition y(0) = 10. Answer: Y= Your answer should be a function of x.