JEE Main & Advanced
Mathematics
Differential Equations
Question Bank
Mock Test - Differential Equations
question_answer
The solution of the differential equation\[\frac{{{d}^{2}}v}{d{{r}^{2}}}=\sin 3x+{{e}^{x}}+{{x}^{2}}\] when \[{{y}_{1}}(0)=1\] and \[y(0)=0\] is k\[\sin 3x+{{e}^{x}}+\frac{{{x}^{4}}}{12}+\frac{1}{3}x-1\] the value of k is ________.