令x=cost,變換方程d^2y/dx^2-x/(1-x^2)*dy/dx+y/(1-x^2)=0
令x=cost,變換方程d^2y/dx^2-x/(1-x^2)*dy/dx+y/(1-x^2)=0
答案是d^2y/dt^2+y=0,想看看解法
答案是d^2y/dt^2+y=0,想看看解法
數(shù)學(xué)人氣：662 ℃時(shí)間：2019-08-18 06:29:00
優(yōu)質(zhì)解答
d^2y/dx^2=d(dy/dx)/dx=d(-dy/(sintdt))/(-sintdt)=(-(d^2y/dt*sint-dy/dt*cost)/(sint)^2)dt/(-sintdt)=d^2y/dt^2/(sint)^2-dy/dt*cost/(sint)^3原方程可化為1/(sint)^2*d^2y/dt^2-cost/(sint^3)*dy/dt+cost/(sint)...
我來回答
類似推薦
- 已知參數(shù)方程x=t+t^2,y=cost.求導(dǎo)數(shù)dy/dx和d^2y/dx^2
- 求方程dy/dx-2y/x+1=(x+1)^5/2滿足 y|x=0=1的特解
- 證明x^2(d^2y/dx^2)+a_1x(dy/dx)+a_2y=0 ,令x=e^t,方程可化成d^2y/dt^2+(a_1-1)dy/dx+a_2y=0
- 設(shè)x=e^(-t),變換方程x^2*d^2y/dx^2+x*dy/dx+y=0
- 驗(yàn)證參數(shù)方程{x=e^t*sint y=e^t*cost 所確定的函數(shù)滿足關(guān)系式(d^2y/dx^2)*(x+y)^2=2(x*dy/dx-y)
- 地暖進(jìn)水管和回水管都開著,水不循環(huán)什么原因
- 培優(yōu)訓(xùn)練
- "紀(jì)昌學(xué)射"```幫幫忙啊```
- 已知二次函數(shù)f（x）是偶函數(shù),且經(jīng)過點(diǎn)（3,6）求它的解析式.謝
- “理想很豐滿,現(xiàn)實(shí)很骨感”這句話是什么意思呀?
- it is convenient for you to do 這里for you在句中是什么結(jié)構(gòu)
- 將na2co3和nahco3混合物30克配成一升溶液,測(cè)得溶液的ph=10.62,溶液含NA2CO3幾克?
猜你喜歡
- 1問幾道小學(xué)六年級(jí)數(shù)學(xué)的題,分高.
- 2向量的運(yùn)算法則
- 3did what buy food you for Daming 怎么排列順序
- 4z=1+根號(hào)3i分之-2,i為虛數(shù)單位,argz=
- 5寫兩篇關(guān)于治水金點(diǎn)子的作文
- 6甲乙兩人從a地到b地,甲需1小時(shí),乙需40分鐘,若甲先出發(fā)10分鐘,則乙追上甲需用多少分鐘 要算式和講解.
- 7求翻譯一下這段內(nèi)容,謝謝!
- 8try ……on的意思
- 9but的用法之一
- 10Li Guanghua is good at playing foot.(同義句轉(zhuǎn)化)LI Guanghua is ()very ()()().
- 11______ (Much/Lots) of them can speak English quite well.
- 12雞的只數(shù)是鴨的2分之1,鵝的只數(shù)是雞的3分之1,鵝的只數(shù)為鴨的幾分之幾?