Question

1) Solve the given differential equation by finding, as in Example 4 of Section 2.4, an...

1) Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor.

(14 − 20y + e−5x) dx − 4 dy = 0

2) Solve the given initial-value problem.

x dy/ dx + y = 2x + 1,   y(1) = 9

y(x) =

Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)

I =

please show steps

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate...
Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor. (14 − 10y + e−5x) dx − 2 dy = 0
Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate...
Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate integrating factor. (x2 + y2 − 7) dx = (y + xy) dy, y(0) = 1
Solve the differential equation (5x^4 y^2+ 2xe^y - 2x cos (x^2)) dx + (2x^5y + x^2...
Solve the differential equation (5x^4 y^2+ 2xe^y - 2x cos (x^2)) dx + (2x^5y + x^2 e^y) dy = 0.
1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x...
1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x − y 2) Solve the given differential equation by separation of variables. y ln(x) dx/dy = (y+1/x)^2 3) Find an explicit solution of the given initial-value problem. dx/dt = 7(x2 + 1),  x( π/4)= 1
Solve the given initial-value problem. (x + 2) dy dx + y = ln(x), y(1) =...
Solve the given initial-value problem. (x + 2) dy dx + y = ln(x), y(1) = 10 y(x) = Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.) I =
Solve the 1st-order linear differential equation using an integrating fac- tor. For problem solve the initial...
Solve the 1st-order linear differential equation using an integrating fac- tor. For problem solve the initial value problem. For each problem, specify the solution interval. dy/dx−2xy=x, y(0) = 1
(a) Use an Integrating Factor to solve the ordinary differential equation, r dy/dr + 2y =...
(a) Use an Integrating Factor to solve the ordinary differential equation, r dy/dr + 2y = 4 ln r, subject to the initial condition, y(1) = 0. [5 marks] (b) Solve the ordinary differential equation which is given in part (a) by first making the substitution, r = e x , to transform it into a differential equation for y in terms of x. [5 marks]
Solve the given differential equation by using an appropriate substitution. The DE is of the form...
Solve the given differential equation by using an appropriate substitution. The DE is of the form dy dx = f(Ax + By + C), which is given in (5) of Section 2.5. dy/dx = (x + y + 7)^2
Solve the differential equation, (8 - 12y + e-3x)dx - 4dy = 0, by finding an...
Solve the differential equation, (8 - 12y + e-3x)dx - 4dy = 0, by finding an appropriate integrating factor.
solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation....
solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. x * dy/dx + y = 1/y^2