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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 - ... 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 \\ ... ) - all real values of \(x\) - The general solution of the differential equation \((x^2+y^2)dx-2xdy=0
- PPSC Paper 2021 (Lecturer in Mathematics)
- - \(3\) - \(7\) - \(6\) - \(4\) - Solution of \((\bigtriangleup ^2=2\bigtriangleup +1) u_x=3... thonormal set - Both \(A\) and \(C\) - The solution \(\sin2x\) and \(\cos2x\) of the differential equ... - The Diophantine equation \(15x+51y=14\) has solution: \\ - Unique - More than one - No ... - Every homogenous system of linear equations has solution: \\ - Trivial - Non-trivial - Paramet
- PPSC Paper 2015 (Lecturer in Mathematics)
- }\) - \(\mathbb{Q}\) - \(xy''+y'=0\) 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 \(\sin x\cos x=\dfrac{\sqrt{3}}{4}\) is --