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- PPSC Paper 2011 (Lecturer in Mathematics)
- n $x_1v_1+x_2v_2+.....+x_pv_p=0$ has only trivial solution. \\ - Linearly independent - Basis ... cteristic - None of these - The set of all solutions to the homogenous equation \(Ax=0\) when \(... ring - maximal ideal - none of these - Solution set of the equation \(1+\cos x=0\) is\\ ... - $-1$ - $1$ - $c$ - $2c$ - The solution of the congruence \(4x\equiv5 \pmod{9}\) is
- PPSC Paper 2021 (Lecturer in Mathematics)
- - \(3\) - \(7\) - \(6\) - \(4\) - Solution of \((\bigtriangleup ^2=2\bigtriangleup +1) ... - Which of those is not an analytical method to solve partial differential equation? \\ - Change ... thonormal set - Both \(A\) and \(C\) - The solution \(\sin2x\) and \(\cos2x\) of the differentia... - The Diophantine equation \(15x+51y=14\) has solution: \\ - Unique - More than one -
- PPSC Paper 2015 (Lecturer in Mathematics)
- -5z)\underline{j}+(4x+6y+az)\underline{k}\) is is-solenoidal for \(a=------\) \\ - \(1\) - \(2\... }\) - \(\mathbb{Q}\) - \(xy''+y'=0\) has a solution \(y=\ln x\) on interval ------------ \\ ... in y )x+e^x$ - $y'+xy=e^xy$ - $y'=5$ - Solution of \(y'=\dfrac{x+y}{x}\) is -------------- ... rac{-\pi}{2},\frac{\pi}{2}]\backslash \{0\}$ - Solution set of \(\sin x\cos x=\dfrac{\sqrt{3}}{4}\)