MCQ 11 MarkThe integrating factor of $\frac{d y}{d x}- y = e ^{ x }$ isA$x$B$-x$✓$e^x$D$e^{-x}$AnswerCorrect option: C. $e^x$(c) $e ^{ x }$View full question & answer→
MCQ 21 MarkBacterial increases at a rate proportional to the number present. If the original number $M$ doubles in 3 hours, then the number of bacteria will be $4 M$ inA4 hours✓6 hoursC8 hoursD10 hoursAnswerCorrect option: B. 6 hours(b) 6 hoursView full question & answer→
MCQ 31 MarkThe solution of $x \frac{d y}{d x}= y \log y$ isA$y=a e^x$B$y=b e^{2 x}$C$y=b e^{-2 x}$✓$y=e^{a x}$AnswerCorrect option: D. $y=e^{a x}$(d) $y=e^{a x}$View full question & answer→
MCQ 41 MarkThe solution of $\frac{d y}{d x}+\frac{x^2}{y^2}=0$ isA$x^3+y^3=7$B$x^2+y^2=c$✓$x^3+y^3=c$D$x+y=c$AnswerCorrect option: C. $x^3+y^3=c$(c) $x^3+y^3=c$View full question & answer→
MCQ 51 MarkThe solution of $\frac{d y}{d x}=1$ isA$x+y=c$B$x y=c$C$x^2+y^2=c$✓$y-x=c$AnswerCorrect option: D. $y-x=c$(d) $y-x=c$View full question & answer→
MCQ 61 MarkThe differential equation of $y=k_1 e^x+k_2 e^{-x}$ is✓$\frac{d^2 y}{d x^2}-y=0$B$\frac{d^2 y}{d x^2}+\frac{d y}{d x}=0$C$\frac{d^2 y}{d x^2}+y \frac{d y}{d x}=0$D$\frac{d^2 y}{d x^2}+y=0$AnswerCorrect option: A. $\frac{d^2 y}{d x^2}-y=0$(a) $\frac{d^2 y}{d x^2}-y=0$View full question & answer→
MCQ 71 MarkThe differential equation of $y = k _1+\frac{k_2}{x}$ isA$\frac{d^2 y}{d x^2}+2 \frac{d y}{d x}=0$✓$x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}=0$C$\frac{d^2 y}{d x^2}-2 \frac{d y}{d x}=0$D$x \frac{d^2 y}{d x^2}-2 \frac{d y}{d x}=0$AnswerCorrect option: B. $x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}=0$(b) $x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}=0$View full question & answer→
MCQ 81 MarkThe order and degree of $\left[1+\left(\frac{d y}{d x}\right)^3\right]^{\frac{2}{3}}=8 \frac{d^3 y}{d x^3}$ are respectivelyA3,1✓3,3C1,3D1,1AnswerCorrect option: B. 3,3(b) 3,3View full question & answer→
MCQ 91 MarkThe integrating factor of $\frac{d y}{d x}- y = e ^{ x }$ is $e ^{- x }$, then its solution is✓$y e^{-x}=x+c$B$y e^x=x+c$C$y e^x=2 x+c$D$y e^{-x}=2 x+c$AnswerCorrect option: A. $y e^{-x}=x+c$(a) $y e^{-x}=x+c$View full question & answer→
MCQ 101 MarkThe order and degree of $\left(\frac{d y}{d x}\right)^3-\frac{d^3 y}{d x^3}+y e^x=0$ are respectively.✓3,1B1,3C3,3D1,1AnswerCorrect option: A. 3,1(a) 3,1View full question & answer→