# User's Directory

🟢This webapp can solve non-homogeneous differential equations up to 20th order. It can also find particular solutions while initial values are provided.

🟢A non-homogeneous system of equations is a system in which the vector of constants on the right-hand side of the equals sign is non-zero.
This webapp is able to solve the non-homogeneous equations with constant co-efficients as well as variable co-effecients. But the equation
must be in following form:
### (f(x)D^{n} + f(x)D^{n-1} + ........... + f(x)D + C) y = Q

🟢For the proper functioning of the web-app, you need to input the ODE in the right format. Otherwise, the code will not run properly. Please follow the manual for right format of input:

🔸Mathematical Expression ➡️ Input Format

🔸x

^{n} ➡️ x^n

🔸3x ➡️ 3*x

🔸e

^{x}➡️exp(x)

🔸sinx ➡️ sin(x) (same for other trigonometric functions)

🔸√x ➡️ sqrt(x)

🔸∛x ➡️ x^(1/3)

🔸logx ➡️ log(x) (same for lnx)

🔸3(x+2sinx) ➡️ 3*(x+2*sin(x))