Problem #12: Find the particular solution to the differential equation y - VX) = -xe-* with...
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
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 following differential equation.
(1 + 5x2) y′′ − 8xy′
− 6y = 0
(a)
If you were to look for a power series solution about
x0 = 0, i.e., of the form
∞
Σ
n=0
cn xn
then the recurrence formula for the coefficients would be given by
ck+2 =
g(k) ck , k
≥ 2. Enter the function g(k) into the answer
box below.
(b)
Find the solution to the above differential equation with
initial conditions y(0) ...
(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.
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...
Problem #4: Use separation of variables to find a product solution to the following partial differential equation, Ou (5y + 8) ou си + (3x + 6) oy = 0 that also satisfies the conditions u(0,0) = 9 and ux(0,0) = 8. Problem #4: Enter your answer as a symbolic 9*e^(1/9)*(3*x^2/2+6*X-5*y^2/2-function of x,y, as in these examples + 6x - 9e1/9(3 + 52 - 8y) Just Save Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt #3...
Find a particular solution to the nonhomogeneous differential equation ?′′+4?′+5?=10?+?−? y ′ ′ + 4 y ′ + 5 y = 10 x + e − x . ??= y p = help (formulas) Find the most general solution to the associated homogeneous differential equation. Use ?1 c 1 and ?2 c 2 in your answer to denote arbitrary constants, and enter them as c1 and c2. ?ℎ= y h = help (formulas) Find the most general solution to the...
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...
Find the explicit particular solution of the differential equation for the initial value provided. y = 5x^y-y, y(1)= -9 The explicit particular solution of the differential equation is y=[.