Determine If the Given Function Y = F(x) Is a Solution

question 174

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $y ^ { \prime } = e ^ { - 5 x } - 5 y$ Initial condition: $y ( 0 ) = 0$
Solution candidate: $y = 5 x e ^ { - 5 x }$

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Definitions:

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The formation of fresh oceanic crust at mid-ocean ridges, which gradually drifts away from the ridge, aiding in the movement of continents.

Magnetic Stripe

Linear patterns of magnetism found on the seabed that are parallel to ocean ridges, providing evidence for the theory of plate tectonics.

Magnetic Field

a vector field surrounding magnets and electric currents, representing the force exerted by magnets on moving charges and magnetic materials.

North to South

Describes a direction or orientation from the northern point towards the southern point on a map or geographical area.