- #1
hbomb
- 58
- 0
Are these the correct answers for the following questions?
1 Solve the Bernoulli equation.
a) [tex]x\frac{dy}{dx}+67=3xy^\frac{4}{3}[/tex]
What I got:
[tex]\frac{1}{y^\frac{1}{3}}=x+cx^2[/tex]
b) [tex]x^2y'+2xy=5y^4[/tex]
What I got:
[tex]2y^(-3)=\frac{30}{13}\frac{1}{x}+cx^12[/tex]
2 Solve each differential equation.
a) [tex]xy''+2y'=6x[/tex]
What I got:
I let u=y', y''=du/dx
[tex]y=x^2-\frac{c_1}{x}+c_2[/tex]
b) [tex]y^3y''=1[/tex]
What I got:
I let u=y', y''=udu/dy
[tex]y=c_1\sqrt{csc(x+c_2)}[/tex]
1 Solve the Bernoulli equation.
a) [tex]x\frac{dy}{dx}+67=3xy^\frac{4}{3}[/tex]
What I got:
[tex]\frac{1}{y^\frac{1}{3}}=x+cx^2[/tex]
b) [tex]x^2y'+2xy=5y^4[/tex]
What I got:
[tex]2y^(-3)=\frac{30}{13}\frac{1}{x}+cx^12[/tex]
2 Solve each differential equation.
a) [tex]xy''+2y'=6x[/tex]
What I got:
I let u=y', y''=du/dx
[tex]y=x^2-\frac{c_1}{x}+c_2[/tex]
b) [tex]y^3y''=1[/tex]
What I got:
I let u=y', y''=udu/dy
[tex]y=c_1\sqrt{csc(x+c_2)}[/tex]
Last edited: