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Let $f(z) = e^z, g(z) = e^{iz}$ and $S = \{z \in \mathbb C: \mbox{Re }z \in [-\pi, \pi] \}$. Then

asked in Complex Analysis by Junky Expert | 68 views

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Let $\{a_n\}$, $\{b_n\}$ be given bounded sequence of positive real numbers.

asked in Real Analysis by Junky Expert | 123 views

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Let $X$ be a connected subset of real numbers. If every element of $X$ is irrational, then the cardinality of $X$ is

asked in Real Analysis by Junky Expert | 156 views

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Let $A=\{x^2:0<x<1 \}$ and $B=\{x^3:1<x<2 \}$. Which of the following statement is true?

asked in Real Analysis by Junky Expert | 114 views

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For $\lambda \in \mathbb{R}$, consider the boundary value problem $P_\lambda$. Which of the following statement is true?

asked in Differential Equation by Junky Expert | 14.4k views

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Consider ODE: $\frac{dy}{dx}=f(y),\: x \in \mathbb{R} $ with $y(0)=y(1)=0$ and $f$ satisfies a Lipschitz function.

asked in Differential Equation by Junky Expert | 97 views

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