Verify that the function is a solution of a DE. Show your solution. Solution Differential Equation y = Ce4x y' = 4y 3 y' -y = 0 y = 2x3 y = x2 x?y" – 2y = 0
Verify that the function is a solution of a DE. Show your solution. Solution Differential Equation y = Ce4x y' = 4y 3 y' -y = 0 y = 2x3 y = x2 x?y" – 2y = 0
Verify that the function is a solution of a DE. Show your solution. Solution Differential Equation y = Ce4x y' = 4y 3 y' -y = 0 y = 2x3 y = x2 x?y" – 2y = 0
Transcribed Image Text:Verify that the function is a solution of a DE. Show
your solution.
Solution
Differential Equation
1. y = Ce4x
II
y' = 4y
2. y = 2x3
3
у— —у 3D 0
3. y = x?
x²y" – 2y = 0
4. y = ex3
y" – 3x²y' – 6xy = 0
5.
y = Ce*-x?
у'+ (2х — 1)у %3D0
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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