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imperiale
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Homework Statement
d2i/dt2 + 6di/dt + 25i = -292sin4t
Homework Equations
The Attempt at a Solution
i got a solution of
Ae^(-3t)cos4t + Be^(-3t)sin4t + 292/9(cos4t) + 146/9(sin4t)
want to know if I am right
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An IH (initial height) equation is a mathematical expression that represents the height of an object at the beginning of its motion. It is typically used in physics and engineering to calculate the initial height of an object when given other motion-related variables.
To solve an IH equation, you need to first identify all the known variables (such as time, acceleration, and final height) and plug them into the equation. Then, use algebraic operations to isolate the unknown variable (initial height) and solve for it. Make sure to use the correct mathematical formula for the specific type of motion being described.
One example of an IH equation is: H = H0 + V0t + (1/2)at2, where H is the final height, H0 is the initial height, V0 is the initial velocity, t is the time, and a is the acceleration. This equation is used to calculate the initial height of an object in free fall.
The units for an IH equation will vary depending on the specific variables used. In the example given above, the units for H, H0, and V0 would be in meters (m), while the units for t would be in seconds (s) and the units for a would be in meters per second squared (m/s2).
An IH equation is used in many real life scenarios, such as calculating the height of a building or determining the starting height of a projectile. It is also used in engineering to design structures and machines that involve motion, such as roller coasters or airplanes.