Question

1220) y=Ax+Dx^B is the particular solution of the first-order homogeneous DEQ: (x-y) = 4xy'. Determine A,B, & D given the boundary conditions: x=7 and y=4.

Answer #1

1218) y=Ax+Cx^B is the general solution of the first-order homogeneous DEQ: (x-y) dx - 2x dy = 0. Determine A and B. Also, include a manual solution in your portfolio. ans:2
1220) y=Ax+Dx^B is the particular solution of the first-order homogeneous DEQ: (x-y) = 2xy'. Determine A,B, & D given the boundary conditions: x=7 and y=5. Include a manual solution in your portfolio. ans:3

Question 11:
What is the general solution of the following homogeneous
second-order differential equation?
d^2y/dx^2 + 10 dy/dx + 25.y =0
(a)
y = e 12.5.x (Ax + B)
(b)
y = e -5.x (Ax + B)
(c)
y = e -10.x (Ax + B)
(d)
y = e +5.x (Ax + B)
Question 12:
What is the general solution of the following homogeneous
second-order differential equation?
Non-integers are expressed to one decimal place.
d^2y/dx^2 − 38.y =0
(a)
y...

1242) y=A x ln(x) + B x + F is the particular solution of the second-order
linear DEQ: xy'' =9 where y'=3 at the point (3,3).
Determine A,B,F. y=A x ln(x) + B x + F is also called an explicit
solution. Is the DEQ separable, exact, 1st-order linear, Bernouli?
Please help solve this question. Find A,B,and F.

B. a non-homogeneous differential equation, a complementary
solution, and a particular solution are given. Find a solution
satisfying the given initial conditions.
y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc=
C1e-x+C2e3x
yp = -2
C. a third-order homogeneous linear equation and three linearly
independent solutions are given. Find a particular solution
satisfying the given initial conditions
y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0
y1=ex, y2=e-x,,
y3= e-2x

Solve the Homogeneous differential equation
(7 y^2 + 1 xy)dx - 1 x^2 dy = 0
(a) A one-parameter family of solution of the equation is y(x)
=
(b) The particular solution of the equation subject to the
initial condition y(1) =1/7.

1249) The solution of some second order linear DEQ is
exp(-1x)[5sin(3x)+ 2cos(3x)] which can also be expressed as
A*exp(-D*x)*sin(F*x+G). Determine A,D,F, and G (degrees). ans:4
1252) y=(C1)exp(Ax)+(C2)exp(Bx)+F+Gx is the general solution of the second order linear differential equation: (y'') + ( -8y') + ( -9y) = ( -8) + ( 3)x. Find A,B,F,G, where A>B. This exercise may show "+ (-#)" which should be enterered into the calculator as "-#", and not "+-#". ans:4

(61). (Bernoulli’s Equation): Find the general solution of the
following first-order differential equations:(a) x(dy/dx)+y=
y^2+ln(x) (b) (1/y^2)(dy/dx)+(1/xy)=1

1250) y=Aexp(Bx)+Fexp(Gx) is the particular solution of
the second order linear differential equation:
(y'') + ( 2y') + (-24y) = 0, subject to the boundary conditions:
y=4, and y'=1 when x=0. Find A,B,F, and G, where B>G.

Solve the first order homogeneous differential equation:
(2x-5y)dx + (4x-y) dy=0

find the solution of the first order differential equation
(e^x+y + ye^y)dx +(xe^y - 1)dy =0 with initial value y(0)= -1

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 14 minutes ago

asked 34 minutes ago

asked 37 minutes ago

asked 38 minutes ago

asked 54 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago