Differential equations: Introduction to Differential equations
The notion of differential equation
Determine an ODE of the form #a\cdot y''+b\cdot y' + c \cdot y+d =0#, where #a#, #b#, #c#, and #d# are real numbers, such that the following polynomial function is a solution. \[y(x) =5\cdot x^2+3\cdot x+1\]
Enter the derivatives of the differential equation as follows.
Enter the derivatives of the differential equation as follows.
- #y'# as #\text{diff}(y,x)#
- #y''# as #\text{diff}(y,x,2)#
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