Trusted by Students Everywhere
Why Choose Us?
0% AI Guarantee
Human-written only.
24/7 Support
Anytime, anywhere.
Plagiarism Free
100% Original.
Expert Tutors
Masters & PhDs.
100% Confidential
Your privacy matters.
On-Time Delivery
Never miss a deadline.
Solve the initial-value problem explicitly
Solve the initial-value problem explicitly.
dudx=7x6−3x2+7dudx=7x6−3x2+7 and u=0u=0 when x=1x=1.
u=____
Expert Solution
First, we integrate the function:
u=∫dudxdxu=∫7x6−3x2+7dxu=x7−x3+7x+Cu=∫dudxdxu=∫7x6−3x2+7dxu=x7−x3+7x+C
Now, we use the initial value u(1)=0u(1)=0 to solve for the constant of integration:
0=u(1)0=17−13+7(1)+C0=7+CC=−70=u(1)0=17−13+7(1)+C0=7+CC=−7
Finally, we have the solution:
u=x7−x3+7x−7
Archived Solution
Unlocked Solution
You have full access to this solution. To save a copy with all formatting and attachments, use the button below.
Already a member? Sign In
Important Note:
This solution is from our archive and has been purchased by others. Submitting it as-is may trigger plagiarism detection. Use it for reference only.
For ready-to-submit work, please order a fresh solution below.
For ready-to-submit work, please order a fresh solution below.
Or get 100% fresh solution
Get Custom Quote
