Find the general solution of the following differential equations:(1)(dy)(dx)=5y(2)(dM)(dt)=-2M(3)(dy)(dx)=2y(4)(dP)(dt)=3√P(5)(dQ)(dt)=2Q+3(6)(dQ)(dt)=1(2Q+3) 相关知识点: 试题来源: 解析 (1)y=A^(5x)(2)M=A^(-2t)(3)y^2=4x+c(4)P^(12)=32t+c(5)...
Example 2 - Finding General Solutions to Differential Equations Using Antidifferentiation Find the solution to the differential equationdydx=4x3e−ysubject to the initial conditiony(1)=3. Step 1:Rewrite the given differential equation in the formf(y)dy=g(x)dx. ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Discover what separable differential equations are and their uses. Learn to identify if an equation is separable and how to solve them through given examples. Related to this QuestionFind the general solution of the differential equation: dy/dx = (tan(x) sec(x))/(4y^3). Find the...
Solve the following differential equations: A) (1+y^2)(e^{2x}dx-e^ydy)-(1+y)dy=0 B) y'=\frac{y}{3x-y^2} Give the differential equation that has y^4 = Cx+3 as it's general solution. Find the general solution for the differential equation. y^2+xy=x^2y' Find the ...
Find the general solution of the differential equations:dxdy+2y=sinx Find the general solution of the differential equations:(x+y)dxdy=1 View Solution Find the general solution of the differential equationdydx−y=cosx View Solution Find the general solution of the differential equationxdydx+2y=x...
Laplace Technique to Find General Solution of Differential Equations without Initial ConditionAdil Al Rammahi
Find the general solution of the given differential equations {eq}{y}''' - {y}'' + y' = \sin t {/eq} Differential Equation: Differential equation of form {eq}\displaystyle \phi \left(D\right)y=f\left(t\right)\:where,\:D=\frac{d}{dt} {/eq} has solution {...
aJust forget about your face 请忘掉您的面孔[translate] aSuch a solution is called the general solution of differential equations 这样解答称微分方程的一般解答[translate]
It is the same concept when solving differential equations - find general solution first, then substitute given numbers to find particular solutions. Let's see some examples of first order, first degree DEs. Example 4 a. Find the general solution for the differential equation dy+7xdx=0dy+...