Embibe Experts Solutions for Chapter: Differential Equation, Exercise 1: Exercise 1

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Differential Equation, Exercise 1: Exercise 1

Attempt the practice questions on Chapter 29: Differential Equation, Exercise 1: Exercise 1 with hints and solutions to strengthen your understanding. Mathematics Crash Course COMEDK UGET solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Differential Equation, Exercise 1: Exercise 1 with Hints & Solutions

HARD
COMEDK UGET
IMPORTANT

The equation of the curve passing through the point (-1,-2) which satisfies dydx=-x2-1x3 is

HARD
COMEDK UGET
IMPORTANT

Let y=fx be a curve which passes through 3,1 and is such that normal at any point on it passes through 1,1. Then, y=fx describes

HARD
COMEDK UGET
IMPORTANT

The general solution of the differential equation dydx+sinx+y2=sinx-y2

MEDIUM
COMEDK UGET
IMPORTANT

The equations of motion of a particle are given bydxdt=tt+1, dydt=1t+1 where the particle is atxt,yt at time t. If the particle is at the origin at t=0, then

HARD
COMEDK UGET
IMPORTANT

A & B are two separate reservoirs of water. Capacity of reservoir A is double the capacity of reservoir B. Both the reservoirs are filled completely with water, their inlet are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is released, the quantity of water in reservoir A is 1.5 times the quantity of water in reservoir B. After how many hours do both the reservoirs have the same quantity of water?

EASY
COMEDK UGET
IMPORTANT

The order of the differential equation of all parabolas whose axis of symmetry along x-axis is -

MEDIUM
COMEDK UGET
IMPORTANT

The solution of the differential equation dydx=ex-y+x2e-y will be

EASY
COMEDK UGET
IMPORTANT

What is the order of the differential equation whose solution is y=acosx+bsinx+ce-x+d where a, b, c and d are arbitrary constants?