This is a linear differential equation, comparing it with ( y)( x)+Py=Qwhere P=tan x, Q=cos xI.F=e^(∫ \ P\ x)=e^(∫ tan x x)=e^(log |sec x|)=sec\ xSolution of the equation is given byy(I.F)=∫ \ Q.(I.F) x+c⇒ y\ sec\ x=∫\ cos\ xsec\ x x+c...
1Find the general solution of the differential equation . Describe the solution curves, and find the equation of the curve which passes through (-4,3). 2Find the general solution of the differential equation . Describe the solution curves, and find the equation of the curve which passes thr...
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)...
Find the general solution of the differential equationdydx−y=cosx View Solution Find the general solution of the differential equationxdydx+2y=x2(x≠0). View Solution Find the general solution of the differential equations:xlogxdxdy+y=2xlogx ...
【题目】a Find the general solution to the differentialequation (|y|)/(|x|x)=(e^(2x-y))/y .Given that the curve passesthrough the point (0,1).b Find the particular solution in the form a= f(y). 相关知识点: 试题来源:
Answer to: Find the general solution of the differential equation. (y^(2) dx)/(1-x)=dy By signing up, you'll get thousands of step-by-step...
Find the general solution of the differential equations:xdydx+y−x+xycotx=0(x≠0) View Solution Find the general solution of the differential equationxdydx+2y=x2(x≠0). View Solution Find the general solution of the differential equationxdydx+2y=x2(x≠0). ...
Note: Use C for the constant. Solution of the Differential Equation : To find the solution of the differential equation, we use the method of separation of variables. We can solve this by separating the equation into two parts. We move all of the...
Alevel微积分数学题请求老师同学解答/1,Find the general solution of the equationdy/dx=tanxcotydy/dx=y(y-1)/x (1,2)dy/dx=cotxcoty (30°,0)2,Obtain the general solution of the differential equationydytan2x/dx=1-y23,Find the solution of the differential equation dy/dx=sin2x/y2 which ...
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 {...