Let \( f \) be a differentiable function satisfying
\[
\int_{0}^{f(x)} f^{-1}(t) d t-\int_{0}^{x... VIDEO
Let \( f \) be a differentiable function satisfyinghttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-09 Match the following
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multic... 2023-06-09 Let a smooth curve \( v=f(x) \) be such that the slope of the tangent at any point \( (x, y) \) ... 2023-06-09 Find the equation(s) of curved mirror \( y=f(x) \) passing through \( (8,6) \) having the proper... 2023-06-09 If \( x=x(y) \) is the solution of the differential equation \( y \frac{d x}{d y} \) \( =2 x+y^{... 2023-06-09 Let \( y=y(x) \) be the solution of the differential equation \( (x+1) y^{\prime}-y=e^{3 x}(x+1)... 2023-06-09 Let the function \( \ln f(x) \) is defined where \( f(x) \) exists for \( x \geq 2 \& k \) is fi... 2023-06-09 Solve:
\( y^{\prime}+\frac{3}{x} y=g(x) \), where \( g(x)=\left\{\begin{array}{l}1 \text { if } ... 2023-06-09 If \( y(x) \) is solution of \( (x+1) \frac{d y}{d x}-x y=1, y(0)=-1 \), then \( y\left(\frac{-6... 2023-06-09 Solve the following differential equations:
(i) \( 2(x-y \sin 2 x) d x+\left(3 y^{2}+\cos 2 x\ri... 2023-06-09 Find the solution of \( \left(y \frac{d y}{d x}+2 x\right)^{2}=\left(y^{2}+2 x^{2}\right)\left[1... 2023-06-09 Let \( f \) be a differentiable function satisfying
\[
\int_{0}^{f(x)} f^{-1}(t) d t-\int_{0}^{x... 2023-06-09 A function \( y=f^{\prime}(x) \) satisfies \( f^{\prime \prime}(x)=\frac{-1}{x^{2}}-\pi^{2} \sin... 2023-06-09 A curve \( y=f(x) \) passes through \( O(0,0) \) and slope of tangent line at any point \( P(x, ... 2023-06-09 A curve \( y=f(x) \) is passing through \( (0,0) \). If the slope of the curve at any point \( (... 2023-06-09 Differential equations are solved by reducing them to the exact differential of an expression in... 2023-06-09 Comprehension
A curve \( y=f(x) \) passes through the point \( P(1,1) \). The normal to the curv... 2023-06-09 Let \( y=f(x) \) and \( y=g(x) \) be the pair of curves such that
(i) the tangents at point with... 2023-06-09 Comprehension
A curve \( y=f(x) \) passes through the point \( P(1,1) \). The normal to the curv... 2023-06-09 If \( x \frac{d y}{d x}=x^{2}+y-2, y(1)=1 \), then \( y(2) \) equals 2023-06-09 A family of curves has the property that the segment of the tangent between the point of tangenc... 2023-06-09 If \( y=y(x) \) and it follows the relation \( 4 x e^{x y}=y+5 \sin ^{2} x \). then \( y^{\prime...
0