Recent questions in Differential equations

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Find the general solution of the equation cos 4x = cos 2x.

asked Apr 10 in Differential equations by Super Te4a (15 points)

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1 answer

(\( \left.D^{2}-4 D+4\right) y=8 x^{2} e^{2 x} \sin^ 2 x \)

asked Feb 10 in Differential equations by r3152 (15 points)

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1 answer

JEE MAINS 2025 24TH JAN S1

asked Feb 5 in Differential equations by sarvagya4659 (20 points)

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1 answer

63. \( f(x)=e^{-\sqrt{x}}+e^{\frac{-1}{x^{2}}} \) If \( f ^{\prime \prime}(x)=\alpha \cdot \frac{e^{-\sqrt{x}}}{x}\left(1+\frac{1}{\sqrt{x}}\right)+\beta \frac{e^{\frac{-1}{x^{2}}}}{x^{4}}\left(3-\frac{2}{x^{2}}\right) \) then \( (\alpha, \beta)= \) 1) \( \left(\frac{1}{4}, 2\right) \) 2) \( \left(\frac{1}{4},-2\right) \) 3) \( \left(-\frac{1}{4}, 2\right) \) 4) \( \left(-\frac{1}{4},-2\right) \)

asked Dec 28, 2024 in Differential equations by anmol2021 (20 points)

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1 answer

7. If \( x \in[0, \pi] \), then \( f(x)=x \sin x+\cos x+\cos ^{2} x \) is a) increasing c) meither increasing nor decreasing b) decreasing Hence \( f(x) \) is non-monotonic d) None of these

asked Sep 18, 2024 in Differential equations by sangna4378 (110 points)

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application of derivatives

asked Sep 11, 2024 in Differential equations by som4600 (20 points)

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1 answer

X^y + y^x = a^b then dy/dx

asked Jul 5, 2024 in Differential equations by yashraj3184 (25 points)

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The general solution of the diffential equation

asked May 24, 2024 in Differential equations by NavyJay (15 points)

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1 answer

Differentiate 3xlogx

asked Apr 9, 2024 in Differential equations by Sagar Baishya (15 points)

+1 vote

1 answer

\[ f(x) = \frac{e^{2x} \cdot \sin(3x)}{\sqrt{1 + x^2}} \]

asked Mar 4, 2024 in Differential equations by vinayak1148 (875 points)

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1 answer

\[ f(x) = x^x \cdot (\ln x + 1)^{\frac{1}{x}} \]

asked Mar 4, 2024 in Differential equations by vinayak1148 (875 points)

0 votes

1 answer

If y(x) = (x^x^x), x > 0 then d^2x/dy^2 + 20 at x = 1 is equal to

asked Feb 25, 2024 in Differential equations by nds (395 points)

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1 answer

p ^ 2 + 2py * cot x =y^ 2

asked Dec 19, 2023 in Differential equations by Sureshlll (20 points)

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1 answer

x ^ 2 * p ^ 2 - 2xyp + 2y ^ 2 - x ^ 2 = 0

asked Dec 19, 2023 in Differential equations by Sureshlll (20 points)

+3 votes

0 answers

86. If \( \lim _{x \rightarrow 0}\left\{\frac{1}{x^{2}}\left(\begin{array}{c}1-\cos \frac{x^{2}}{2}-\cos \frac{x^{2}}{4} \\ +\cos \frac{x^{2}}{2} \cos \frac{x^{2}}{4}\end{array}\right)\right\}=2^{-t} \), then the value of \( k \) is

asked Nov 22, 2023 in Differential equations by Vedant Kumbarwar (40 points)

+4 votes

0 answers

Page \[ \lim _{x \rightarrow 0}\left(\frac{\left(x+2 \cos x^{3}\right)+2(x+2 \cos x)^{2}}{(x+2)^{3}+2(x+2)^{2}+3 \sin (x+2}\right)^{100 / x} \] is equal to

asked Nov 22, 2023 in Differential equations by Vedant Kumbarwar (40 points)

0 votes

1 answer

Xp^3=a+bp differential equations

asked Nov 11, 2023 in Differential equations by sneha6431 (20 points)

0 votes

1 answer

How 0 becomes 1

asked Sep 23, 2023 in Differential equations by Neo_ star21 (15 points)

0 votes

2 answers

If A= 0,2 and B=5,10 are given points and p is a point on the x axis

asked Aug 10, 2023 in Differential equations by Akshay05 (15 points)

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0 answers

If the family of straight lines in the \( x-y \) plane satisfying the property that the sum of \( x \) and \( y \) intercepts on co-ordinate axes is 2020 has differential equation \( \left(x \frac{d y}{d x}-y\right)\left(\frac{d y}{d x}-1\right)+k \frac{d y}{d x}=0 \) then the value of \( \frac{k}{404} \) is equal to \( (5) \)

asked Jul 16, 2023 in Differential equations by akhilesh3605 (54 points)

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