# Few hard integrations in Dif.equation solution

• tiam77
In summary, the conversation discusses a homework statement involving an integration problem and a failed attempt at solving it using the substitution rule. The person seeking help is asked to show their work before receiving assistance.
tiam77

## Homework Statement

First

z(t) + (-tz + 3t)dt=0

Second:

in attachment

## Homework Equations

How can one solve hose integrations I was faced as one part in solving Dif. equation.

## The Attempt at a Solution

I have tried to soleve bouth of them by usin substitution rule but I have failed do gain the right answers. I must have been making some silly and repeating error.

#### Attachments

• tet2.doc
26.5 KB · Views: 202
Last edited:
Hello tiam77, welcome to Physicsforums!

Forum policy is for the helpers to not give help if you do not show us any work - Saying you tried something is good, show us what exactly you did. We can't help you if we can't see where you are going wrong?

For the first one, is z a function or a constant?

For the second one, the substitution seems fairly obvious. What did you try to use? Show us what you did!

## 1. What are hard integrations in differential equation solutions?

Hard integrations in differential equation solutions refer to integrals that cannot be solved analytically or by traditional methods. These integrals require advanced techniques such as numerical integration, series solutions, or approximations to solve.

## 2. Why are hard integrations difficult to solve?

Hard integrations in differential equation solutions are difficult to solve because they involve complex mathematical operations and do not have a closed-form solution. This means that there is no simple formula or equation that can be used to find the exact solution.

## 3. What are some examples of hard integrations in differential equation solutions?

Examples of hard integrations in differential equation solutions include integrals involving inverse trigonometric functions, logarithms, and exponential functions. These integrals often require advanced techniques such as substitution, integration by parts, or trigonometric identities to solve.

## 4. How are hard integrations typically solved?

Hard integrations in differential equation solutions are typically solved using numerical methods such as the trapezoidal rule, Simpson's rule, or Gaussian quadrature. These methods involve approximating the integral with smaller, simpler integrals that can be solved using traditional techniques.

## 5. What are the applications of solving hard integrations in differential equation solutions?

Solving hard integrations in differential equation solutions is important in many fields of science and engineering, including physics, chemistry, and engineering. These integrals often arise in real-world problems, and being able to solve them accurately is crucial for making accurate predictions and creating effective models.

• Calculus and Beyond Homework Help
Replies
7
Views
900
• Calculus and Beyond Homework Help
Replies
3
Views
634
• Calculus and Beyond Homework Help
Replies
3
Views
1K
• Calculus and Beyond Homework Help
Replies
7
Views
1K
• Calculus and Beyond Homework Help
Replies
4
Views
906
• Calculus and Beyond Homework Help
Replies
12
Views
1K
• Calculus and Beyond Homework Help
Replies
4
Views
1K
• Calculus and Beyond Homework Help
Replies
9
Views
1K
• Calculus and Beyond Homework Help
Replies
2
Views
944
• Calculus and Beyond Homework Help
Replies
2
Views
1K