Kamke 1.2
Equation
\(a y{\left(x \right)} - c e^{b x} + \frac{d}{d x} y{\left(x \right)}\)
Solution
\(\left[ y{\left(x \right)} = \left(C_{1} + c \left(\begin{cases} \frac{e^{a x} e^{b x}}{a + b} & \text{for}\: a \neq - b \\x & \text{otherwise} \end{cases}\right)\right) e^{- a x}\right]\)
Verification (using checkodesol)
Skipped
Time Taken
1.4320766925811768 seconds
Matching Hints
- 1st_linear
- Bernoulli
- almost_linear
- 1st_power_series
- lie_group
- nth_linear_constant_coeff_undetermined_coefficients
- nth_linear_constant_coeff_variation_of_parameters
- 1st_linear_Integral
- Bernoulli_Integral
- almost_linear_Integral
- nth_linear_constant_coeff_variation_of_parameters_Integral
Generated on Fri, 20 Aug 2021 16:23:11 GMT