Please show your steps, so I could understand
Please show your steps, so I could understand (1 point) Find the particular solution of the...
(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.
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...
Need help on 8,9 and 10 please. (1 point) Use substitution to find the general solution of the differential equation (7x - y)dx +ady 0 (Use C to denote the arbitrary constant and In input | if using In.) help (formulas) Solve the differential equation (y2 + xy) dx-x2 dy = O c- Inlx G-loves Solve the homogeneous differential equation -yd(xaydy0 Note: Some algebraic manipulation goes into putting your answer into the form below. 10% of the following is a...
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 a particular solution satisfying the initial condition, of each of the following differential equations 17-21. The initial condition is indicated alongside each equation. 3xy? dz, y(2) y dy + x d = = 1.
PLEASE SOLVE NUMBER 3 AND SHOW ALL WORK 1.Find the particular implci solution to the difterential equatiothat satisfies the condition 1. Find the particular implicit solution to the differential equation dx y y(7)- v5. Sketch a graph of your solution. 2. Write and solve the differential equation the models the verbal statement. Simplify the explicit solution. Temperature of the body and the constant temperature of its surrounding medium M." of a body is directly proportional to the difference in the...
Find a function y=f(x) satisfying the given differential equation and the prescribed initial condition. 1 dy dx y(7) = -5 1x + 2
Solve differential equation with initial condition. Final answer in form y=f(x). Please show all steps, thank you!!! dy = xy² + 4x y dx yo) = 2
Please write neat so I can read and understand the problem. (1 point) In this exercise we consider finding the first five coefficients in the series solution of the first order linear initial value problem 3y" - xy + 4y = 0 subject to the initial condition y(0) = 3, y'(0) = 2. Since the equation has an ordinary point at x = 0 and it has a power series solution in the form y= 2" We learned how to...
Find a particular solution to the differential equation using the Method of Undetermined Coefficients. dPy dy -7 + 2y=x e* dx ox? A solution is yp(x)=