Question

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

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We solve the given differential equation of Bernoulli's form by using substitution method.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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
1) Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli...
1) Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. x dy/dx +y= 1/y^2 2)Consider the following differential equation. (25 − y2)y' = x2 Let f(x, y) = x^2/ 25-y^2. Find the derivative of f. af//ay= Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0, y0) in the region. a) A unique solution exists in the region consisting...
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form...
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form y' + P(x)y = Q(x)yn that can be reduced to a linear form by a substitution. The general solution of a Bernoulli equation is y1 − ne∫(1 − n)P(x) dx = (1 − n)Q(x)e∫(1 − n)P(x) dx dx + C. (Enter your solution in the form F(x, y) = C or y = F(x, C) where C is a needed constant.) y' − 10y...
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form...
Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form y' + P(x)y = Q(x)yn that can be reduced to a linear form by a substitution. The general solution of a Bernoulli equation is y1 − ne∫(1 − n)P(x) dx = (1 − n)Q(x)e∫(1 − n)P(x) dx dx + C. (Enter your solution in the form F(x, y) = C or y = F(x, C) where C is a needed constant.) y8y' − 5y9...
Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy/dx-2xy=5y^4, y(1)=1/2
Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy/dx-2xy=5y^4, y(1)=1/2
A Bernoulli differential equation is one of the form dy/dx+P(x)y=Q(x)y^n (∗) Observe that, if n=0 or...
A Bernoulli differential equation is one of the form dy/dx+P(x)y=Q(x)y^n (∗) Observe that, if n=0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=y^(1−n) transforms the Bernoulli equation into the linear equation du/dx+(1−n)P(x)u=(1−n)Q(x). Consider the initial value problem xy′+y=−8xy^2, y(1)=−1. (a) This differential equation can be written in the form (∗) with P(x)=_____, Q(x)=_____, and n=_____. (b) The substitution u=_____ will transform it into the linear equation du/dx+______u=_____. (c) Using the substitution in part...
Consider the Bernoulli equation dy/dx + y = y^2, y(0) = −1 Perform the substitution that...
Consider the Bernoulli equation dy/dx + y = y^2, y(0) = −1 Perform the substitution that turns this equation into a linear equation in the unknown u(x). Solve the equation for u(x) using the Laplace transform. Obtain the original solution y(x). Does it sound familiar?
A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn Observe that, if n=0 or 1,...
A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn Observe that, if n=0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=y^(1−n) transforms the Bernoulli equation into the linear equation du/dx+(1−n)P(x)u=(1−n)Q(x) Use an appropriate substitution to solve the equation y'−(3/x)y=y^4/x^2 and find the solution that satisfies y(1)=1
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
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT